{ "cells": [ { "cell_type": "markdown", "id": "80519061", "metadata": {}, "source": [ "# Oppenheimer-Snyder collapse\n", "\n", "This Jupyter/SageMath notebook is relative to the lectures\n", "[Geometry and physics of black holes](https://relativite.obspm.fr/blackholes/).\n", "\n", "The computations make use of tools developed through the [SageManifolds project](https://sagemanifolds.obspm.fr)." ] }, { "cell_type": "code", "execution_count": 1, "id": "21e535c9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'SageMath version 10.0.beta8, Release Date: 2023-04-06'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "version()" ] }, { "cell_type": "code", "execution_count": 2, "id": "fa93442e", "metadata": {}, "outputs": [], "source": [ "%display latex" ] }, { "cell_type": "markdown", "id": "ccc5d920", "metadata": {}, "source": [ "Due to spherical symmetry, we a considering a 2-dimensional cut at $(\\theta,\\varphi) = \\mathrm{const}$:" ] }, { "cell_type": "code", "execution_count": 3, "id": "a6fc751d", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left(M,({\\tilde{t}}, r)\\right)\$$" ], "text/latex": [ "$\\displaystyle \\left(M,({\\tilde{t}}, r)\\right)$" ], "text/plain": [ "Chart (M, (ti, r))" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M = Manifold(2, 'M', structure='Lorentzian')\n", "EF. = M.chart(r\"ti:\\tilde{t} r:[0,+oo)\")\n", "EF" ] }, { "cell_type": "code", "execution_count": 4, "id": "e34f23da", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle {\\tilde{t}} :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left[ 0 , +\\infty \\right)\$$" ], "text/latex": [ "$\\displaystyle {\\tilde{t}} :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left[ 0 , +\\infty \\right)$" ], "text/plain": [ "ti: (-oo, +oo); r: [0, +oo)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "EF.coord_range()" ] }, { "cell_type": "markdown", "id": "ecb1bee4", "metadata": {}, "source": [ "## Interior" ] }, { "cell_type": "code", "execution_count": 5, "id": "d3881a1d", "metadata": {}, "outputs": [], "source": [ "I = M.open_subset('I')" ] }, { "cell_type": "markdown", "id": "d7e04605", "metadata": {}, "source": [ "We choose $\\chi_{\\rm s} = \\pi/4$:" ] }, { "cell_type": "code", "execution_count": 6, "id": "c49a9e70", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left(I,({\\eta}, {\\chi})\\right)\$$" ], "text/latex": [ "$\\displaystyle \\left(I,({\\eta}, {\\chi})\\right)$" ], "text/plain": [ "Chart (I, (eta, chi))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S. = I.chart(r\"eta:[0,pi]:\\eta chi:[0,pi/4]:\\chi\")\n", "S" ] }, { "cell_type": "code", "execution_count": 7, "id": "25913e92", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle {\\eta} :\\ \\left[ 0 , \\pi \\right] ;\\quad {\\chi} :\\ \\left[ 0 , \\frac{1}{4} \\, \\pi \\right]\$$" ], "text/latex": [ "$\\displaystyle {\\eta} :\\ \\left[ 0 , \\pi \\right] ;\\quad {\\chi} :\\ \\left[ 0 , \\frac{1}{4} \\, \\pi \\right]$" ], "text/plain": [ "eta: [0, pi]; chi: [0, 1/4*pi]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S.coord_range()" ] }, { "cell_type": "code", "execution_count": 8, "id": "0fa8fd6b", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left(\\left(\\left(0, \\mathrm{True}\\right), \\left(\\pi, \\mathrm{True}\\right)\\right), \\left(\\left(0, \\mathrm{True}\\right), \\left(\\frac{1}{4} \\, \\pi, \\mathrm{True}\\right)\\right)\\right)\$$" ], "text/latex": [ "$\\displaystyle \\left(\\left(\\left(0, \\mathrm{True}\\right), \\left(\\pi, \\mathrm{True}\\right)\\right), \\left(\\left(0, \\mathrm{True}\\right), \\left(\\frac{1}{4} \\, \\pi, \\mathrm{True}\\right)\\right)\\right)$" ], "text/plain": [ "(((0, True), (pi, True)), ((0, True), (1/4*pi, True)))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S.coord_bounds()" ] }, { "cell_type": "code", "execution_count": 9, "id": "2de1b490", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\frac{1}{4} \\, \\pi\$$" ], "text/latex": [ "$\\displaystyle \\frac{1}{4} \\, \\pi$" ], "text/plain": [ "1/4*pi" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chis = S.coord_bounds()[1][1][0]\n", "chis" ] }, { "cell_type": "markdown", "id": "5c90d6ba", "metadata": {}, "source": [ "The initial areal radius of the star in units of $m$:" ] }, { "cell_type": "code", "execution_count": 10, "id": "9bae742a", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle 4\$$" ], "text/latex": [ "$\\displaystyle 4$" ], "text/plain": [ "4" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r0 = 2/sin(chis)^2 \n", "r0" ] }, { "cell_type": "markdown", "id": "c6042432", "metadata": {}, "source": [ "## Global evolution curves" ] }, { "cell_type": "markdown", "id": "68588e54", "metadata": {}, "source": [ "$r_{\\rm s}(\\eta)$ in units of $r_0$:" ] }, { "cell_type": "code", "execution_count": 11, "id": "694f1610", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle {\\eta} \\ {\\mapsto}\\ \\frac{1}{2} \\, \\cos\\left({\\eta}\\right) + \\frac{1}{2}\$$" ], "text/latex": [ "$\\displaystyle {\\eta} \\ {\\mapsto}\\ \\frac{1}{2} \\, \\cos\\left({\\eta}\\right) + \\frac{1}{2}$" ], "text/plain": [ "eta |--> 1/2*cos(eta) + 1/2" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rsurf(eta) = (1 + cos(eta))/2\n", "rsurf" ] }, { "cell_type": "markdown", "id": "a59a7298", "metadata": {}, "source": [ "Matter proper time $\\tau$ in units of $\\sqrt{r_0^3/(8 m_0)}$:ยต" ] }, { "cell_type": "code", "execution_count": 12, "id": "a5ff2c98", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle {\\eta} \\ {\\mapsto}\\ \\frac{1}{2} \\, {\\eta} + \\frac{1}{2} \\, \\sin\\left({\\eta}\\right)\$$" ], "text/latex": [ "$\\displaystyle {\\eta} \\ {\\mapsto}\\ \\frac{1}{2} \\, {\\eta} + \\frac{1}{2} \\, \\sin\\left({\\eta}\\right)$" ], "text/plain": [ "eta |--> 1/2*eta + 1/2*sin(eta)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tau(eta) = (eta + sin(eta))/2\n", "tau" ] }, { "cell_type": "markdown", "id": "247ca13b", "metadata": {}, "source": [ "Proper energy density $\\rho$ in units of $6 m / (\\pi r_0^3)$:" ] }, { "cell_type": "code", "execution_count": 13, "id": "07f08d5e", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle {\\eta} \\ {\\mapsto}\\ \\frac{1}{{\\left(\\cos\\left({\\eta}\\right) + 1\\right)}^{3}}\$$" ], "text/latex": [ "$\\displaystyle {\\eta} \\ {\\mapsto}\\ \\frac{1}{{\\left(\\cos\\left({\\eta}\\right) + 1\\right)}^{3}}$" ], "text/plain": [ "eta |--> (cos(eta) + 1)^(-3)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rho(eta) = 1 / (1 + cos(eta))^3\n", "rho" ] }, { "cell_type": "code", "execution_count": 14, "id": "5b777558", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = plot(tau, (0, pi), color='purple', thickness=2, linestyle='--',\n", " legend_label=r'$\\tau \\; \\sqrt{2 m / r_0^3}$',\n", " axes_labels=[r'$\\eta$', r'$r_{\\rm s}$, $\\tau$, $\\rho$'],\n", " ticks=[pi/4, None], tick_formatter=[pi, None], fontsize=12,\n", " axes_labels_size=1.4,\n", " frame=True, axes=False, gridlines=True) \\\n", " + plot(rsurf, (0, pi), color='red', thickness=2, \n", " legend_label=r'$r_{\\rm s}(\\tau)/r_0 = a(\\tau)\\, \\sin\\chi_{\\rm s} / r_0$') \\\n", " + plot(rho, (0, 2), color='blue', thickness=2, \n", " legend_label=r'$\\rho(\\tau) \\, \\pi r_0^3/(6 m)$')\n", "graph.set_legend_options(handlelength=2, labelspacing=0.5,\n", " font_size=11)\n", "graph.set_aspect_ratio(0.75)\n", "graph.show(ymax=3.2)\n", "graph.save('lem_OS_rs_rho_eta.pdf', ymax=3.2)" ] }, { "cell_type": "code", "execution_count": 15, "id": "66e459ab", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = parametric_plot((tau(eta), eta), (eta, 0, pi), color='orange', \n", " linestyle='--', thickness=2, \n", " legend_label=r'$\\eta$',\n", " axes_labels=[r'$\\tau \\; \\sqrt{2m/r_0^3}$', \n", " r'$\\eta$, $r_{\\rm s}$, $\\rho$'], \n", " frame=True, axes=False, gridlines=True) \\\n", " + parametric_plot((tau(eta), rsurf(eta)), (eta, 0, pi), color='red',\n", " thickness=2, \n", " legend_label=r'$r_{\\rm s}(\\tau)/r_0 = a(\\tau)\\, \\sin\\chi_{\\rm s} / r_0$') \\\n", " + parametric_plot((tau(eta), rho(eta)), (eta, 0, 2), color='blue', \n", " thickness=2, \n", " legend_label=r'$\\rho(\\tau) \\, \\pi r_0^3/(6 m)$')\n", "graph.set_legend_options(handlelength=2, labelspacing=0.5,\n", " font_size=11)\n", "graph.set_aspect_ratio(0.4)\n", "graph.show(ymax=3.2)\n", "graph.save('lem_OS_rs_rho_tau.pdf', ymax=3.2)" ] }, { "cell_type": "markdown", "id": "d04cc6ff", "metadata": {}, "source": [ "$\\eta$ as a function of $\\tau/m$:" ] }, { "cell_type": "code", "execution_count": 16, "id": "41236f5d", "metadata": {}, "outputs": [], "source": [ "def etaf(tau):\n", " def ff(et):\n", " return float((et + sin(et))/sin(chis)^3 - tau)\n", " return find_root(ff, float(0), float(pi))" ] }, { "cell_type": "markdown", "id": "5eb999fa", "metadata": {}, "source": [ "Value of the matter proper time $\\tau$ at the end of the collapse, in units of $m$:" ] }, { "cell_type": "code", "execution_count": 17, "id": "9161d721", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left(2 \\, \\sqrt{2} \\pi, 8.88576587631673\\right)\$$" ], "text/latex": [ "$\\displaystyle \\left(2 \\, \\sqrt{2} \\pi, 8.88576587631673\\right)$" ], "text/plain": [ "(2*sqrt(2)*pi, 8.88576587631673)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tau_end = pi/sin(chis)^3\n", "tau_end, n(tau_end)" ] }, { "cell_type": "markdown", "id": "ca6c0dab", "metadata": {}, "source": [ "Check:" ] }, { "cell_type": "code", "execution_count": 18, "id": "c3cc8c56", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\mathrm{True}\$$" ], "text/latex": [ "$\\displaystyle \\mathrm{True}$" ], "text/plain": [ "True" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "etaf(tau_end) == n(pi)" ] }, { "cell_type": "code", "execution_count": 19, "id": "fed00540", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(etaf, 0, tau_end)" ] }, { "cell_type": "markdown", "id": "b250c97c", "metadata": {}, "source": [ "### Plot of $\\rho$ at the black hole's birth as a function of $\\chi_s$" ] }, { "cell_type": "code", "execution_count": 20, "id": "2399dde6", "metadata": {}, "outputs": [ { "data": { "image/png": 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o2v1hazIlp1ygWHCenp5ql0BkFDNKImBOqamVlABBQfJ2mzby+nWNpXROOWNnZo3puomIiEi79u6t/k3dq68CW7Y0zedwxk5wbm5uapdAZBQzSiJgTqmpBQRUbzf2athKSueUM3ZmZkrXnZ6eDkdHRzNXRmQ6ZpREwJxSUyoqAhwdgdxcoF07eR07e/vGH8eUnHLGTnA7d+5UuwQio5hREgFzSk0pNFRu6gBgypTba+oA5XPKxk6DnJ2d1S6ByChmlETAnFJT8vOr3m7MvWH/SumcsrHToPT0dLVLIDKKGSURMKfUVPLygMqJto4dgaeeuv1jKZ1TNnYaVFJSonYJREYxoyQC5pSays6dQGGhvP3SS4Cd3e0fS+mcsrHToP79+6tdApFRzCiJgDmlplJzWZPXXruzYymdUzZ2GnT48GG1SyAyihklETCn1BRu3gTCwuTtXr2AUaPu7HhK55SNnQa9/vrrapdAZBQzSiJgTqkpbNsGlJfL26++CrS4w05K6ZyysdOgFStWqF0CkVHMKImAOaWmoOTXsIDyOeUCxWbGW4oRERGJKT4euPdeefuBB4DYWPN8LhcoFhxvg0Nax4ySCJhTUlrNteuUmK0DeEsx4ZnSdefk5KB9+/ZmrozIdMwoiYA5JSVJEjB4MHD5svw8MVG+eOJOmZJTzthpkE6ng5OTE0aMGNHgWF9fXzNURHT7mFESAXNKSoqKqm7qxo1TpqkDlM8pGzszcXFxgV6vR1RUVINjH3/8cTNURHT7mFESAXNKStq4sXp75kzljqt0TtnYaVBcXJzaJRAZxYySCJhTUkpxMeDvL2+3bAm8+KJyx1Y6p2zsNKhly5Zql0BkFDNKImBOSSl79gC3bsnbU6cCSi5qoXRO2dhpUKdOndQugcgoZpREwJySUmr+DE7Jr2EB5XPKxk6DYmJi1C6ByChmlETAnJISMjLkGTsA6N4deOIJZY+vdE7Z2GnQc889p3YJREYxoyQC5pSU4O8PlJXJ26+/DlhbK3t8pXPKxk6D1q1bp3YJREYxoyQC5pSUUPNq2DfeUP74SueUCxSbGW8pRkREJIYLF4D775e3nZ2BU6fUqYMLFAuOt8EhrWNGSQTMKd2pprxoohJvKSY4U7ruoqIiODg4mLkyItMxoyQC5pTuRHm5fHeJ1FTAxkb+s0sX5T/HlJxyxk5wy5cvV7sEIqOYURIBc0p34uBBuZkDgGeeaZqmDlA+p2zsNGjKlClql0BkFDNKImBO6U7U/Bq2KS6aqKR0TtnYaVB0dLTaJRAZxYySCJhTul05OUBQkLzdsaM8Y9dUlM4pGzsN6tq1q9olEBnFjJIImFO6XX5+QGGhvP3KK4C9fdN9ltI5ZWOnQTY2NmqXQGQUM0oiYE7pdtVcWm7WrKb9LKVzysZOg65evap2CURGMaMkAuaUbseZM0Dlt6PDhwMPPti0n6d0TtnYadC4cePULoHIKGaURMCc0u0w52wdoHxO2dhp0NatW9UugcgoZpREwJxSYxUUAFu2yNutWgHTpzf9ZyqdUy5QbCY6nQ46nQ7l5eW4cuWK0UUGy8vLYa30XYaJFMSMkgiYU2osX9/qO0z83/8BPj5N/5mm5JQLFGuQi4sL9Ho9oqKiGhzr7u5uhoqIbh8zSiJgTqmxzP01LKB8TjljZ2aN6bqJiIjIPC5dAgYPlrednIDz5wErK3VrqsQZO8HxxtWkdcwoiYA5pcbw9q7efucd8zV1SueUM3ZmZkrXnZycjJ49e5q5MiLTMaMkAuaUTFVSAvToAWRkAHZ2wPXrQOfO5vlsU3LKGTvBHTx4UO0SiIxiRkkEzCmZKiREbuoAYOpU8zV1gPI5ZWOnQffdd5/aJRAZxYySCJhTMlXNiybeece8n610TtnYaVBh5Q3qiDSKGSURMKdkimvXgNBQebtvX+Dvfzfv5yudUzZ2GpSVlaV2CURGMaMkAuaUTLF+PVB5tcHbbwMtzNwZKZ1TNnYa9GBT35iO6A4xoyQC5pQaUl5evQhxixbyosTmpnRO2dhp0O7du9UugcgoZpREwJxSQw4cAFJS5O1nngG6dzd/DUrnlMudmJkplywXFBSgVatWZq6MyHTMKImAOaWGTJ0KBAfL2zt3Av/4h/lrMCWnXO5EcD/++KPaJRAZxYySCJhTMubGDWDXLnm7Wzdg8mR16lA6p5yxMzPeUoyIiEh9338P/Pvf8vbXXwNavlEJZ+wEx9vgkNYxoyQC5pTqU1YGrF4tb7doAbz7rnq1KJ1TYRu7lStXom/fvnBwcICzszOOHj1qdPzhw4fh7OwMBwcH9OvXD6tWrTJ4/cKFC3jhhRfQp08fWFlZYenSpYp87u2YPXu24sckUhIzSiJgTqk+u3fLtw0D5IsmevVSrxalcypkYxcQEABXV1d8/fXXOHPmDMaOHYtJkyYhKSmpzvFXr17F5MmTMXbsWJw5cwZfffUV5s6di8DAwKoxBQUF6NevHxYuXIiuXbsq8rm3KygoSNHjESmNGSURMKdUn5Urq7fff1+9OgDlcyrkb+weeeQRDBs2DF5eXlX7Bg8ejClTpsDd3b3W+Hnz5iEkJAQXL16s2jdnzhycPXsWx48frzW+T58+cHV1haur6x19bl1M+Z789OnTGDZsmEnHI1IDM0oiYE6pLnFxQOVdvPr1k5+be1HimkzJqUX/xq6kpATR0dGYMGGCwf4JEyYgMjKyzvccP3681viJEyfi1KlTKC0tbbLPBYDi4mLk5uYaPBpy48YNk2oiUgszSiJgTqkulb+tA4DZs9Vt6gDlcypcY5eZmYny8nI4Ojoa7Hd0dERaWlqd70lLS6tzfFlZGTIzM5vscwHA3d0d7du3r3r07NkTAJCQkAAPDw8UFxdX/XDSzc0Nqamp2L9/P6KionDgwAEEBQVBr9dj2bJlyM3NNRh769Yt6HQ6xMbGIiQkBHv27MHp06exevVqZGRkGIwtKCiAp6cnLl++jG3btuHgwYOIjIzEhg0bkJycbDC2vLwc7u7uSExMxKZNmxAREYHw8HD4+/sjLi4OixcvRlFRkcF70tLSsHbtWkRFRWH//v3YsWMHzp8/j+XLlyMnJ8dgbHZ2NlasWIFz584hODgYe/fuRXR0NNasWYP09HSDsYWFhfD09ERcXBwCAgJw6NAhHDt2DL6+vkhKSsL8+fNRUVEBNzc3VFRUYP78+UhKSoKvry+OHTuGQ4cOISAgAHFxcfD09ERhYaHB8dPT07FmzRpER0dj7969CA4Oxrlz57BixQpkZ2cbjM3JycHy5ctx/vx57Nixo+rf09q1a5GWlmYwtqioCIsXL0ZcXBz8/f0RHh6OiIgIbNq0CYmJiXB3d0d5ebnBe5KTk7FhwwZERkbi4MGD2LZtGy5fvgxPT08UFBQYjM3IyMDq1atx+vRp7NmzByEhIYiNjYVOp8OtW7cMxubm5mLZsmXQ6/UICgrCgQMHEBUVBW9vb6SmphqMLS4uhoeHB+Lj4+Hn54fw8HAcPXoUmzdvxrVr17Bw4UKUlZXBz8+v6j0pKSlYv349Tpw4gbCwMGzfvh2XLl3CkiVLkJ+fb3D8zMxMrFq1CjExMdi9ezd27dqFmJgYeHl5ISsry2BsXl4eli5dCr1ej8DAQISGhuLkyZPw8fGpVXdpaSkWLVqEhIQEbNmyBUeOHMGRI0ewZcsWJCQkYNGiRSgtLa31vzUfHx+cPHkSoaGhCAwMhF6vx9KlS5GXl2cwNisrC15eXoiJicGuXbuwe/duxMTEYNWqVcjMzDQYm5+fjyVLluDSpUvYvn07wsLCcOLECaxfvx4pKSkGY8vKyrBw4UJcu3YNmzdvxtGjRxEeHg4/Pz/Ex8fXe47w9vbmOcKEc0RaWhrPESqdI2q+R0vniPPnr2LVqmIAgJ1dBdq1+1n1c0R0dHSD54jExESYTBLM9evXJQBSZGSkwX43Nzdp4MCBdb5nwIAB0oIFCwz2RURESACkGzdu1Brfu3dvacmSJXf8uZIkSUVFRVJOTk7VIzk5WQIg5eTk1Pues2fP1vsakRYwoyQC5pT+avVqSZLvDCtJM2aoXY3MlJzm5OQ02DtUEm7GrnPnzrC2tq41S3bz5s1as2mVunbtWud4GxsbdOrUqck+FwDs7e3Rrl07g0dDmuJKWyIlMaMkAuaUapIkYNmy6ucffaReLTUpnVPhGjs7Ozs4OzsjLCzMYH9YWBhGjRpV53tGjhxZa3xoaCiGDx8OW1vbJvvc2/XKK68oejwipTGjJALmlGr69VfgwgV5e9QowNlZ3XoqKZ1T4Ro7APjkk0+wbt06+Pj44OLFi/j444+RlJSEOXPmAAC+/PJLvPHGG1Xj58yZg8TERHzyySe4ePEifHx84O3tjU8//bRqTElJCWJiYhATE4OSkhJcv34dMTEx+P33303+XKWsrHkdNpEGMaMkAuaUalq+vHp77lz16vgrxXOqxPfDatDpdFLv3r0lOzs7adiwYdLhw4erXps5c6Y0fvx4g/Hh4eHS0KFDJTs7O6lPnz6Sl5eXwetXr16VANR6/PU4xj7XFI35npyIiIjuXEKCJLVoIf+2rnt3SSopUbuixmlM7yDkOnYiM2UtGjc3N3zzzTdmrozIdMwoiYA5pUqffQb88IO87eYm3xtWK0zJaWPWsWNjZ2am/MvJzc016SILIrUwoyQC5pQA4M8/gR49gOxswN4eSE4GunRRu6pqpuTUohcobg42bNigdglERjGjJALmlABg82a5qQOAV17RVlMHKJ9TNnYa9OSTT6pdApFRzCiJgDmlvy5x8uGH6tVSH6VzysZOgy5duqR2CURGMaMkAuaUDh0C9Hp5e8wYQIu3DlY6p2zsNKh169Zql0BkFDNKImBOqeZsnZaWOKlJ6ZyysdOgjh07ql0CkVHMKImAOW3eEhKAXbvk7R49gClTVC2nXkrnlI2dBsXGxqpdApFRzCiJgDlt3nQ6+Td2APD++4CJN5oyO6VzyuVOzMyUS5ZTU1PRvXt3M1dGZDpmlETAnDZfeXlAz55ATo68xElKCtC5s9pV1c2UnHK5E8H5+PioXQKRUcwoiYA5bb58fOSmDgBee027TR2gfE45Y2dmjem6iYiIqHHKyoB77wUSE+Xn588Df/ubujXdKc7YCc7NzU3tEoiMYkZJBMxp8xQYWN3UTZ6s/aZO6Zxyxs7MTOm6i4uLYW9vb+bKiEzHjJIImNPmR5KAESOA6Gj5+aFDwOOPq1tTQ0zJKWfsNEin08HJyQkjRoxocOxPP/1khoqIbh8zSiJgTpufI0eqm7phw4DHHlO1HJMonVPO2JmZKV13fHw8+vfvb+bKiEzHjJIImNPm57nngN275e2tW+V7w2qdKTnljJ3gfvvtN7VLIDKKGSURMKfNy8WL1U1dr17Aiy+qW4+plM4pGzsN6tatm9olEBnFjJIImNPm5ccfq7ddXbW7IPFfKZ1TNnYaZG1trXYJREYxoyQC5rT5SEsDfH3l7fbtgXfeUbeexlA6p2zsNCix8jptIo1iRkkEzGnzodMBJSXy9uzZQNu26tbTGErnlI2dBo0ZM0btEoiMYkZJBMxp8/Dnn8DKlfK2jQ0wd6669TSW0jllY6dB/v7+apdAZBQzSiJgTpuHNWuAW7fk7VdeAe65R916GkvpnHK5EzMz5ZLlsrIy2NjYmLkyItMxoyQC5tTyFRcD/foBqanycxFvH2ZKTrncieAWLlyodglERjGjJALm1PJt3Fjd1E2ZIl5TByifU87YmVljum4iIiKqW1kZMHAgkJAgP4+KAoYPV7empsIZO8HxxtWkdcwoiYA5tWz+/tVN3YQJ4jZ1SueUM3ZmZkrXnZKSgh49epi5MiLTMaMkAubUclVUAA88AOj18vPwcGD8eFVLum2m5JQzdoILCwtTuwQio5hREgFzarl27qxu6kaPBsaNU7eeO6F0TtnYadDgwYPVLoHIKGaURMCcWiZJAubPr37+1VeAlZV69dwppXPKxk6D8vLy1C6ByChmlETAnFqmsDAgOlreHjoUmDRJ3XrulNI5ZWOnQdnZ2WqXQGQUM0oiYE4tkyXN1gHK55SNnQY98MADapdAZBQzSiJgTi1PRARw5Ii8PXAgMHWquvUoQemcsrHToH379qldApFRzCiJgDm1PAsWVG9/+SVgba1eLUpROqdc7sRMdDoddDodysvLceXKFaOXLOfn56NNmzZmrpDIdMwoiYA5tSynTwPOzvJ2795AXBxga6tuTUowJadc7kSDXFxcoNfrERUV1eDYpUuXNn1BRHeAGSURMKeWpeZs3eefW0ZTByifU87YmRlvKUZERNQ4sbHAgw/K2127AlevAg4O6tZkTpyxExxvg0Nax4ySCJhTy/G//1Vvz5tnWU0dbykmOFO67szMTHTu3NnMlRGZjhklETCnluHsWeChh+Ttrl3l+8O2bKlqSYoyJaecsRPczz//rHYJREYxoyQC5tQy/Pe/1dtffGFZTR2gfE7Z2GnQo48+qnYJREYxoyQC5lR8MTHAjh3ydrduwLvvqlpOk1A6p2zsNCglJUXtEoiMYkZJBMyp+Cx9tg5QPqds7DSIP3skrWNGSQTMqdjOnAGCg+Xt7t0tc7YOUD6nbOw0qGfPnmqXQGQUM0oiYE7F9vXX1dtffmlZV8LWpHRO2dhp0PHjx9UugcgoZpREwJyK6+hRoPJOW716AbNmqVtPU1I6p1zuxMxMuWQ5KysLnTp1MnNlRKZjRkkEzKmYJAkYNw6IiJCf+/gA//d/6tbUlEzJKZc7EZyXl5faJRAZxYySCJhTMR04UN3UDRwIzJihbj1NTemccsbOzHhLMSIiorpVVADDh8sXTgDAtm3AtGnq1qQFnLETHG+DQ1rHjJIImFPxBAZWN3XDhgEvvKBuPebAW4oJzpSuOy8vD23btjVzZUSmY0ZJBMypWMrKgPvvBy5flp/v2wc8/bS6NZmDKTnljJ3gvL291S6ByChmlETAnIpl06bqpm7sWGDiRHXrMRelc8rGToMmTJigdglERjGjJALmVBzFxcB331U/nz8fsLJSrRyzUjqnbOw06OLFi2qXQGQUM0oiYE7FsWYNkJQkb0+aJM/YNRdK55SNnZnodDo4OTlhxIgRDY7lb0JI65hREgFzKob8fKDm9QPz56tXixqUzikbOzNxcXGBXq9HVFRUg2Pbt29vhoqIbh8zSiJgTsWweDFw86a8PW0aMHSouvWYm9I5ZWOnQRcuXFC7BCKjmFESAXOqfampwA8/yNs2Ns1vtg5QPqds7DTo6eZwfTcJjRklETCn2vef/wAFBfL2e+8BAwaoW48alM4pGzsN8vHxUbsEIqOYURIBc6ptFy7I94EFgHbtgH//W9161KJ0Thu1QLGHhwd0Oh0yMzMxbtw4LF26FAMHDgQArFu3DmfOnMGff/6JDRs2KFqkJeEtxYiIiIBnngH27pW3Fy4E5s1Ttx4ta5IFij09PeHh4YHHHnsMc+bMQWFhIYYNG4Y9e/YAAN555x08++yz2LRp051VT7wNDmkeM0oiYE6169Ch6qauZ09g7lx161GT0jm1MXXgvn37cO7cOXTr1q1qX1RUFN5//304ODjgiSeeQIsW/GZXCfP4ny2kccwoiYA51aaKCuDTT6ufz58PtGypXj1qUzqnJndiw4cPN2jqAGDEiBE4fPgwfH19cejQIUULa85+/PFHtUsgMooZJREwp9q0ZQtw5oy8PXQo8Npr6tajNqVzanJjZ21tjaKiIly6dAkhISFV+1u1aoWNGzfi2LFj2L9/v6LFNVfTpk1TuwQio5hREgFzqj2FhcDXX1c/X7wYaO5f9imdU5P/cX744Yf44IMPMG3aNLz77ru1Xv/222/x0EMPwdbWVtECm6Pjx4+rXQKRUcwoiYA51Z4ffwSSk+XtSZOAJ55Qtx4tUDqnJv/GrmvXrli3bh1+//13tG7dus4xM2fOxKhRoxQrrrnq2bOn2iUQGcWMkgiYU225fh1YsEDetrYGPDzUrUcrlM6pyY1dpXvvvdfo6wOa4+qCREREZNS8eYaLEd9/v7r1WKpm/s22NiVXzlMTaRQzSiJgTrUjMlK+aAIAOnYE/vtfdevREqVzarbGzsfHB99//z3++OMPRY63cuVK9O3bFw4ODnB2dsbRo0eNjj98+DCcnZ3h4OCAfv36YdWqVbXGBAYGwsnJCfb29nBycsKOHTsMXi8rK8M333yDvn37omXLlujXrx/+97//oaKiQpG/U6WRI0cqejwipTGjJALmVBsqKoCPPqp+/v33cnNHMqVz2mSNXUZGhkHD89Zbb2Hq1KmYO3cufv311zs6dkBAAFxdXfH111/jzJkzGDt2LCZNmoSkpKQ6x1+9ehWTJ0/G2LFjcebMGXz11VeYO3cuAgMDq8YcP34cL7/8MmbMmIGzZ89ixowZeOmll3Dy5MmqMYsWLcKqVauwYsUKXLx4ER4eHli8eDGWL19+R3+fv9q+fbuixyNSGjNKImBOtWHjRuDUKXn7gQeAOq6/bNaUzmmjbilmil9//RXTpk3DH3/8gZYtW2Ls2LGYNm0aXnjhBbRv3x6SJGH69OkICAi47c945JFHMGzYMHh5eVXtGzx4MKZMmQJ3d/da4+fNm4eQkBBcvHixat+cOXNw9uzZqqtRXn75ZeTm5mLfvn1VY55++mncdddd8PPzAwA8++yzcHR0hLe3d9WYF154Aa1atTL5jhum3BaktLSUVxeTpjGjJALmVH25ucB99wHp6fLzgweBv/9d3Zq0xpScNsktxUz173//Gy4uLli+fDnefPNNJCQk4J133kG3bt3wyiuvYNWqVcjMzLzt45eUlCA6OhoTJkww2D9hwgRERkbW+Z7jx4/XGj9x4kScOnUKpaWlRsfUPOaYMWNw8OBBXLlyBQBw9uxZREREYPLkyfXWW1xcjNzcXINHQxYtWtTgGCI1MaMkAuZUfW5u1U3d88+zqauL0jlVvLF74IEH8N///hfvv/8+VqxYgcuXL+Ps2bP46KOPcObMGXz77bd45513bvv4mZmZKC8vh6Ojo8F+R0dHpKWl1fmetLS0OseXlZVVNZn1jal5zHnz5uGVV17BoEGDYGtri6FDh8LV1RWvvPJKvfW6u7ujffv2VY/Ky5oTEhLg4eGB4uLiqvvEubm5ITU1Fd26dUNUVBQOHDiAoKAg6PV6LFu2DLm5uQZjb926BZ1Oh9jYWISEhGDPnj04ffo0Vq9ejYyMDIOxBQUF8PT0xOXLl7Ft2zYcPHgQkZGR2LBhA5KTkw3GlpeXw93dHYmJidi0aRMiIiIQHh4Of39/xMXFYfHixSgqKjJ4T1paGtauXYuoqCjs378fO3bswPnz57F8+XLk5OQYjM3OzsaKFStw7tw5BAcHY+/evYiOjsaaNWuQnp5uMLawsBCenp6Ii4tDQEAADh06hGPHjsHX1xdJSUmYP38+Kioq4ObmhoqKCsyfPx9JSUnw9fXFsWPHcOjQIQQEBCAuLg6enp4oLCw0OH56ejrWrFmD6Oho7N27F8HBwTh37hxWrFiB7Oxsg7E5OTlYvnw5zp8/jx07dmD//v2IiorC2rVrkZaWZjC2qKgIixcvRlxcHPz9/REeHo6IiAhs2rQJiYmJcHd3R3l5ucF7kpOTsWHDBkRGRuLgwYPYtm0bLl++DE9PTxQUFBiMzcjIwOrVq3H69Gns2bMHISEhiI2NhU6nw61btwzG5ubmYtmyZdDr9QgKCsKBAwcQFRUFb29vpKamGowtLi6Gh4cH4uPj4efnh/DwcBw9ehSbN2/GtWvXsHDhQpSVlVXl283NDSkpKVi/fj1OnDiBsLAwbN++HZcuXcKSJUuQn59vcPzMzEysWrUKMTEx2L17N3bt2oWYmBh4eXkhKyvLYGxeXh6WLl0KvV6PwMBAhIaG4uTJk/Dx8alVd2lpKRYtWoSEhARs2bIFR44cwZEjR7BlyxYkJCRg0aJFKC0trfW/NR8fH5w8eRKhoaEIDAyEXq/H0qVLkZeXZzA2KysLXl5eiImJwa5du7B7927ExMRU/YdqzbH5+flYsmQJLl26hO3btyMsLAwnTpzA+vXrkZKSYjC2rKwMCxcuxLVr17B582YcPXoU4eHh8PPzQ3x8fL3nCG9vb54jTDhHvPHGGzxHqHSOcHNzQ1wc8OOP5QAAG5syvPbaGZ4j6jhHPPLIIw2eIxITE2EySWHvvfee0oc0cP36dQmAFBkZabDfzc1NGjhwYJ3vGTBggLRgwQKDfRERERIA6caNG5IkSZKtra20detWgzGbN2+W7O3tq577+flJPXr0kPz8/KTY2FjJ19dX6tixo7Rhw4Z66y0qKpJycnKqHsnJyRIAKScnp973fP/99/W+RqQFzCiJgDlV17PPShIgP77+Wu1qtMuUnObk5DTYO1Rq9Dp2DRk7diyCg4MxZcoUpQ8NAOjcuTOsra1rzc7dvHmz1oxbpa5du9Y53sbGBp06dTI6puYxP/vsM3zxxReYPn06AHl2svK/rGbOnFnnZ9vb28Pe3r5Rf8e33nqrUeOJzI0ZJREwp+rZvx/YvVvevuce4Msv1a1Hy5TOqeJfxb7yyis4f/481q1bp/ShAQB2dnZwdnZGWFiYwf6wsLB673oxcuTIWuNDQ0MxfPjwqh8s1jem5jELCgrQ4i83tbO2tlZ8uRPec5e0jhklETCn6igsBD74oPr5okVAPTesIjRBTpWYRqzp5MmTUr9+/aQWLVpI/fv3l95++21p06ZNUnJysmKf4e/vL9na2kre3t6SXq+XXF1dpdatW0vXrl2TJEmSvvjiC2nGjBlV4xMSEqRWrVpJH3/8saTX6yVvb2/J1tZW+vnnn6vGHDt2TLK2tpYWLlwoXbx4UVq4cKFkY2MjnThxomrMzJkzpXvuuUfavXu3dPXqVSkoKEjq3Lmz9Pnnn5tcuynTqTU/k0iLmFESAXOqjv/8p/or2HHjJKmiQu2KtM2UnDbmq1jFG7sxY8ZIs2fPlj777DNp4sSJUtu2bSUrKyupRYsW0r333ivNmjVLOnz48B1/jk6nk3r37i3Z2dlJw4YNMzjmzJkzpfHjxxuMDw8Pl4YOHSrZ2dlJffr0kby8vGodc/v27dLAgQMlW1tbadCgQVJgYKDB67m5udJHH30k9erVS3JwcJD69esnff3111JxcbHJdZvyL+fAgQMmH49IDcwoiYA5Nb8rVyTJzk5u6mxsJOn8ebUr0j5TctqYxk7xdezee+89g/XlysvLERUVhV9//RXh4eGIjIxEmzZtcOPGDSU/VhimrEUTGBiIF154wcyVEZmOGSURMKfmJUnAxIlA5a+aPv9c/hqWjDMlp41Zx07xiyfs7OwMnltbW+PRRx/Fo48+ii+//BJlZWXIzs5W+mMtyuDBg9UugcgoZpREwJya1/bt1U1dr17Av/+tbj2iUDqnil88MXDgQBw+fLje121sbNC5c2elP9aihIaGql0CkVHMKImAOTWf3FzA1bX6+bJlvGDCVErnVPGvYiVJgqurK5599lk89dRTSh7aIpgynZqXl4e2bduauTIi0zGjJALm1HxcXYGffpK3n3sOCAlRtRyhmJJTVW8ptn//fvj7++Ppp5/G5MmTsWTJEpw5c0bpj7FoP1X+r4NIo5hREgFzah4xMcDy5fJ2y5bybB2ZTumcKj5jN2rUKIwePRrXr19HREQEUlJSYGVlhQ4dOmDcuHF4/PHHMXXq1KpbazU3jem6iYiItKyiAhg9GjhxQn6+YAEXI24Kqs7YDRgwAIsXL8bWrVuRlJSEuLg4eHl5YeLEiTh58iRcXV3rXUiYZJX3iSPSKmaURMCcNr3Vq6ubukGDgH/9S916RKR0ThWfsTt27BjWrFmDYcOGYerUqejVq5fB65cuXUJWVhZGjx6t5McKw5SuOysrq+pWZ0RaxIySCJjTppWSAjg5AXl58vNffwUee0zVkoRkSk5VnbEbPXo0NmzYgJEjRyIpKanW64MGDWq2TZ2ptm3bpnYJREYxoyQC5rTpSBLw3nvVTd0777Cpu11K51TxdewAwMrKCg8//HBTHLpZGDlypNolEBnFjJIImNOms307sHu3vN21K+DhoW49IlM6p4rP2JkqKysLCn8LbDGSk5PVLoHIKGaURMCcNo2sLODDD6ufr1gB3HWXevWITumcmr2xW7RoETp37oy7774bXbp0wQ8//GDuEjTPyspK7RKIjGJGSQTMadP49FPg5k15e+pUgHdtuzNK57RJvoqtj4eHBy5fvox169ahXbt2SE5Oxs6dO7Fs2TLMnTvXnKVoWo8ePdQugcgoZpREwJwq75dfgA0b5O127eTZOrozSufUrDN2aWlp8PHxwZQpU/D3v/8dM2fORFBQEG7cuGHOMlSh0+ng5OSEESNGNDj2ROW140QaxYySCJhTZf35J/Duu9XPFy8GundXrx5LoXROzdrYDRo0qM79ffr0MWcZqnBxcYFer0dUVFSDY1988UUzVER0+5hREgFzqqwvvwSuXpW3x4+Xr4SlO6d0Ts3a2BUWFiI7O9tgX3Z2Ni+i+ItVq1apXQKRUcwoiYA5VU54ePVtwxwcgDVrgBaqXX5pWZTOqeILFFeKj4/HrFmzDPYVFBQgJSUF3WvM3V6/fh2LFi3C66+/3hRlaA5vKUZERCLJywOGDAGuXZOfL1kCuLqqWVHz05jeockunrCxsUF2djZcXFxgY2P8YyoqKpqqDCG5ubnhm2++UbsMonoxoyQC5lQZn31W3dSNGwfwWkdlKZ3TJpuxKywsxMGDB/Hss882xeGFZUrXnZ+fjzZt2pi5MiLTMaMkAub0zoWGAhMnytutWwOxsUC/furWZGlMyamqtxSr1LJlS5OburNnzzZVGUJau3at2iUQGcWMkgiY0zuTkwO8/Xb1cw8PNnVNQemcmnUdOwAoLi7GzZs3DS6Y+Pe//42dO3eauxTNmjRpktolEBnFjJIImNM78/HHQEqKvP3EE8CcOerWY6mUzqlZr2lZtmwZ2rRpg969e6NPnz5Vj92VN5wjAMC5c+fULoHIKGaURMCc3r7du4H16+Xttm0BHx9eBdtUlM6pWf81Xbx4Eenp6aioqDB4TJ8+3ZxlaF6HDh3ULoHIKGaURMCc3p5btwwXIl6yBOjVS716LJ3SOTVrY/fggw+iY8eOtfbPnz/fnGVoXtu2bdUugcgoZpREwJw2niQB778PVN4QatIk4K231K3J0imdU7M2dp06dUJsbGyt/R4eHuYsQ/MuXryodglERjGjJALmtPE2bwYCAuTtDh2AtWsBhe9RT3+hdE6bbLkTAPj2229x7NixqueSJOHChQvo1KmTQYeq1+uRn5/fVGVoiimXLKekpPDm1aRpzCiJgDltnKtXgQcflBckBuQG76WX1K2pOTAlp5pYoBiQix03bhz69u1b7xhJkrC88j4lBADYsGEDF9UkTWNGSQTMqenKyoAZM6qbujfeYFNnLkrntElm7CoqKnDlyhVs374dn376KVq2bGl0/Pbt2zFt2jSly9Ak3lKMiIi0xs0N+PZbebtvXyAmBuD/RWmHqgsU//TTT7j77rvxt7/9Dd999x06deqEqVOn4vjx4/W+p7k0daZyc3NTuwQio5hREgFzaprffgO++07ebtEC2LSJTZ05KZ1TRWfstmzZgu+++w7PPfccrK2tkZSUhN9++w2JiYmwsrKCi4sLfvrpJ1g1419imtJ1l5WVNXh/XSI1MaMkAua0Yfn5wNChwO+/y8///W/gv/9Vt6bmxpScqjZjd/DgQZw9exY//vgjFi9ejICAAFy9ehXnz5/Hv/71L/j4+OAtXjfdoB9++EHtEoiMYkZJBMypcZVLm1Q2dY88Uv11LJmP0jlVtLFr06YNWrVqVWu/k5MTPDw8cOXKFSQkJGDPnj1KfqzF4YLNpHXMKImAOTVuwwb5a1cAaNNGXuqEE5zmp3ROFW3shgwZgpUrV9b7evfu3REcHIwdO3Yo+bFC0Ol0cHJywogRIxocGxERYYaKiG4fM0oiYE7rd+EC4OJS/XztWuDee9WrpzlTOqeKNnZvvvkmtm7dirlz5+LWrVt1jrnrrrvQohnecM7FxQV6vR5RUVENju3du7cZKiK6fcwoiYA5rduff8pLmRQWys/ffRfg5KZ6lM6poh2WjY0Ndu7cibNnz6Jbt2545pln4O3tjbi4uKoxW7duxfDhw5X8WItTXl6udglERjGjJALmtG4ffgjo9fL2kCHA0qWqltPsKZ1Txb9N79SpEw4dOgQvLy8sXrwY+/btg5WVFTp37ox27dqhe/fuWLZsmdIfa1FuVN6kj0ijmFESAXNa26ZNwPr18nbr1sC2bUADS81SE1M6p016SzEAOHHiBMLDw3H06FFERkYiJycHVlZW6NChA8aNG4fHHnsMEydOxKBBg5qyDM0w5ZLl+Ph49O/f38yVEZmOGSURMKeGLl0Chg+Xv4oF5Cbv9dfVrYlMy6mqCxT/1aOPPoovvvgCe/bswa1bt3DmzBksWbIETzzxBE6cOIGPP/4YDzzwAM6fP9/UpQgjMDBQ7RKIjGJGSQTMabXCQvl3dZVN3VtvsanTCqVz2uQzdg2Ji4tDdHQ0/vnPfzZ46zFLYErXXVxcDHt7ezNXRmQ6ZpREwJxWe/dd+cpXAPjb3+S7TdSxOhmpwJScamrGriEDBgzA9OnTm0VTZ6rFixerXQKRUcwoiYA5lfn5VTd1rVrJv6tjU6cdSudU9Rm75qYxXTcREdGd0OvlO0rk58vP168H3nxT1ZLoNgg1Y0e18cbVpHXMKImguec0JweYOrW6qXvjDTZ1WqR0TjljZ2amdN2pqano3r27mSsjMh0zSiJozjmtqACefx7YuVN+/uCDQGQkv4LVIlNyyhk7we3bt0/tEoiMYkZJBM05p+7u1U3dXXcBQUFs6rRK6ZyysdOgIUOGqF0CkVHMKImgueZ0/37g22/lbSsrYOtWoF8/dWui+imdUzZ2GlTffXaJtIIZJRE0x5wmJACvvgpU/sjq+++Bp59WtyYyTumcsrHToD8rV5Ak0ihmlETQ3HJaUCBfLPHHH/LzKVOAL79UtSQygdI5ZWOnQc3l9mokLmaURNCccipJwKxZQGys/Py++4CNG4EW/H95zVM6p/xXrkG//PKL2iUQGcWMkgiaU049POTf0gFAmzbAjh0Al0oVg9I55XInZmbKJcu5ublcvJg0jRklETSXnO7aBfzzn9W/qwsMlJc6ITGYklMudyK4ZcuWqV0CkVHMKImgOeT0/HnDiyX+9z82daJROqecsTMTnU4HnU6H8vJyXLlyhbcUIyKiO5KZCYwYAVy7Jj9/+WX5vrBWVqqWRU2AM3Ya5OLiAr1ej6ioqAbHNvfb4JD2MaMkAkvOaUkJ8OKL1U2dszPg48OmTkS8pZjgTOm6b926hY4dO5q5MiLTMaMkAkvNqSQBb78NrF8vP+/aFYiKAnr0ULcuuj2m5JQzdoLz8/NTuwQio5hREoGl5nTBguqmzt4eCA5mUycypXPKxk6Dxo4dq3YJREYxoyQCS8ypnx/wzTfVzzdtAh55RL166M4pnVM2dhp0rfJHE0QaxYySCCwtpxERwJtvVj9fuBCYNk21ckghSueUjZ0GWVtbq10CkVHMKInAknIaFyevVVdSIj+fNQv4/HN1ayJlKJ1TNnYa1K1bN7VLIDKKGSURWEpOs7KAyZOBynvFT5gA6HS8AtZSKJ1TNnYaZMqSKERqYkZJBJaQ06IiYMoU4Pff5ef33w9s2wbY2qpaFilI6ZxyuRMzM+WS5YyMDHTp0sXMlRGZjhklEYie0/JyYPp04Oef5edduwInTwK9eqlbFynLlJxyuRPBrV69Wu0SiIxiRkkEIudUkoAPP6xu6lq1AnbvZlNniZTOKWfszKwxXTcRETVP//0v8N138raNjdzUTZyoakmkIs7YCc6Sb4NDloEZJRGImtNVq6qbOgDYsIFNnSXjLcUEZ0rXXVBQgFatWpm5MiLTMaMkAhFz+vPPwEsvyV/FAsCSJYCrq6olURMzJafNYsZu5cqV6Nu3LxwcHODs7IyjR48aHX/48GE4OzvDwcEB/fr1w6pVq2qNCQwMhJOTE+zt7eHk5IQdO3bUGnP9+nW8/vrr6NSpE1q1aoWHHnoI0dHRiv29AMDLy0vR4xEpjRklEYiW00OHgNdeq27qvviCTV1zoHROhWzsAgIC4Orqiq+//hpnzpzB2LFjMWnSJCQlJdU5/urVq5g8eTLGjh2LM2fO4KuvvsLcuXMRGBhYNeb48eN4+eWXMWPGDJw9exYzZszASy+9hJMnT1aN+eOPPzB69GjY2tpi37590Ov18PT0RIcOHRT9+z377LOKHo9IacwoiUCknJ45Iy9rUrkA8VtvyfeEJcuneE4lAT388MPSnDlzDPYNGjRI+uKLL+oc//nnn0uDBg0y2Dd79mzp0UcfrXr+0ksvSU8//bTBmIkTJ0rTp0+vej5v3jxpzJgxd1R7Tk6OBEDKycmpd0xAQMAdfQZRU2NGSQSi5PTKFUm6+25JkufqJOm55ySptFTtqshcTMmpKb1DJeFm7EpKShAdHY0JEyYY7J8wYQIiIyPrfM/x48drjZ84cSJOnTqF0tJSo2NqHjMkJATDhw/HtGnTcPfdd2Po0KFYu3atEn8tA506dVL8mERKYkZJBCLk9No14IkngJs35eejRwP+/vKVsNQ8KJ1T4Rq7zMxMlJeXw9HR0WC/o6Mj0tLS6nxPWlpanePLysqQmZlpdEzNYyYkJMDLywsDBgzAgQMHMGfOHMydOxe+vr711ltcXIzc3FyDR0NatmzZ4BgiNTGjJAKt5/T6dbmpS06Wnw8ZAuzaJa9ZR82H0jkVrrGrZPWXm+RJklRrX0Pj/7q/oWNWVFRg2LBhWLBgAYYOHYrZs2dj1qxZRn/46O7ujvbt21c9evbsCUBuEj08PFBcXFx1qbObmxtSU1Oxbt06REVF4cCBAwgKCoJer8eyZcuQm5trMPbWrVvQ6XSIjY1FSEgI9uzZg9OnT2P16tXIyMgwGFtQUABPT09cvnwZ27Ztw8GDBxEZGYkNGzYgOTnZYGx5eTnc3d2RmJiITZs2ISIiAuHh4fD390dcXBwWL16MoqIig/ekpaVh7dq1iIqKwv79+7Fjxw6cP38ey5cvR05OjsHY7OxsrFixAufOnUNwcDD27t2L6OhorFmzBunp6QZjCwsL4enpibi4OAQEBODQoUM4duwYfH19kZSUhPnz56OiogJubm6oqKjA/PnzkZSUBF9fXxw7dgyHDh1CQEAA4uLi4OnpicLCQoPjp6enY82aNYiOjsbevXsRHByMc+fOYcWKFcjOzjYYm5OTg+XLl+P8+fPYsWMH9u/fj6ioKKxduxZpaWkGY4uKirB48WLExcXB398f4eHhiIiIwKZNm5CYmAh3d3eUl5cbvCc5ORkbNmxAZGQkDh48iG3btuHy5cvw9PREQUGBwdiMjAysXr0ap0+fxp49exASEoLY2FjodDrcunXLYGxubi6WLVsGvV6PoKAgHDhwAFFRUfD29kZqaqrB2OLiYnh4eCA+Ph5+fn4IDw/H0aNHsXnzZly7dg0LFy5EWVkZfvjhh6r3pKSkYP369Thx4gTCwsKwfft2XLp0CUuWLEF+fr7B8TMzM7Fq1SrExMRg9+7d2LVrF2JiYuDl5YWsrCyDsXl5eVi6dCn0ej0CAwMRGhqKkydPwsfHp1bdpaWlWLRoERISErBlyxYcOXIER44cwZYtW5CQkIBFixahtLS01v/WfHx8cPLkSYSGhiIwMBB6vR5Lly5FXl6ewdisrCx4eXkhJiYGu3btwu7duxETE4NVq1YhMzPTYGx+fj6WLFmCS5cuYfv27QgLC8OJEyewfv16pKSkGIwtKyvDwoULce3aNWzevBlHjx5FeHg4/Pz8EB8fX+85wtvbm+cIE84Rx48f1+w5IjGxCEOHZiEhQf7/il69/oSb20ns3m0Z54ia7+E5wvg5YseOHQ2eIxITE2GyO/5y2MyKi4sla2trKSgoyGD/3LlzpXHjxtX5nrFjx0pz58412BcUFCTZ2NhIJSUlkiRJUs+ePaUff/zRYMyPP/4o9erVq+p5r169pLfffttgzMqVK6Xu3bvXW29RUZGUk5NT9UhOTm7we/KkpKR6XyPSAmaURKDVnGZlSdIDD1T/pq5fP0lKSVG7KlKLKTm16N/Y2dnZwdnZGWFhYQb7w8LCMGrUqDrfM3LkyFrjQ0NDMXz4cNj+/zsp1zem5jFHjx6Ny5cvG4y5cuUKevfuXW+99vb2aNeuncGjIRs3bmxwDJGamFESgRZzmpMjLzZ87pz8vGdP4OBB4J571K2L1KN4TpXoNs3N399fsrW1lby9vSW9Xi+5urpKrVu3lq5duyZJkiR98cUX0owZM6rGJyQkSK1atZI+/vhjSa/XS97e3pKtra30888/V405duyYZG1tLS1cuFC6ePGitHDhQsnGxkY6ceJE1ZjffvtNsrGxkebPny/FxcVJW7ZskVq1aiVt3rzZ5Nob03UTEZHlyM+XpNGjq2fqunaVr4glakhjegchGztJkiSdTif17t1bsrOzk4YNGyYdPny46rWZM2dK48ePNxgfHh4uDR06VLKzs5P69OkjeXl51Trm9u3bpYEDB0q2trbSoEGDpMDAwFpjdu3aJd1///2Svb29NGjQIGnNmjWNqtuUfznff/99o45JZG7MKIlASznNy5OkceOqm7pOnSTp/Hm1qyItMCWnjWnseEsxMzPltiDl5eWwtrY2c2VEpmNGSQRayWleHjB5MhARIT9v316+y8SwYerWRdpgSk6bxS3FLJmHh4faJRAZxYySCLSQ09xc4Omnq5u6Dh2AX35hU0fVlM4pl0DUoFdffVXtEoiMYkZJBGrnNCdHbupOnJCf33UXmzqqTemccsZOg44cOaJ2CURGMaMkAjVzmp0NTJhQ3dR16sSvX6luSueUM3Ya1LdvX7VLIDKKGSURqJXTP/6Qm7pTp+TnnTvLS5oMGaJKOaRxSueUjZ0GlZWVqV0CkVHMKIlAjZzeugU89RRw+rT8vEsXeabu/vvNXgoJQumc8qtYDarvnrdEWsGMkgjMndO0NOCxx6qburvvBn79lU0dGad0Tjljp0HOzs5ql0BkFDNKIjBnThMTgSefBH7/XX7etas8Uzd4sNlKIEEpnVPO2GlQcHCw2iUQGcWMkgjMldPLl4ExY6qbul69gCNH2NSRaZTOKRcoNjNTFhksKiqCg4ODmSsjMh0zSiIwR07PnJHv/ZqRIT8fOBAIC5PvAUtkClNyygWKBffDDz+oXQKRUcwoiaCpcxoRATz+eHVT99BD8kwdmzpqDKVzyhk7M2tM101ERNoUHAy88gpQVCQ/HzUK2LNHvrMEkdI4Yyc4Nzc3tUsgMooZJRE0VU5XrwZeeKG6qZswAQgNZVNHt0fpnHLGzsxM6brT0tLQtWtXM1dGZDpmlESgdE4lCfjuO+B//6ve99prgI8PYGen2MdQM2NKTjljp0E6nQ5OTk4YMWJEg2N37dplhoqIbh8zSiJQMqdlZcC77xo2dZ99Bvj6sqmjO6P0+ZSNnZm4uLhAr9cjKiqqwbEPPfRQ0xdEdAeYURKBUjktKACmTgXWravet2QJ4OEBtOD/i9IdUvp8ygWKNSgrK0vtEoiMYkZJBErkNDMTeO454MQJ+bmdnTxL9/LLd3xoIgDKn0/Z2GlQYWGh2iUQGcWMkgjuNKfx8cDkycCVK/Lzdu3kq2Eff/zOayOqpPT5lI2dBg0YMEDtEoiMYkZJBHeS04gIYMoUoHIypVs3YN8+4MEHlamNqJLS51P+OkCDfv31V7VLIDKKGSUR3G5Ot24FnniiuqlzcgIiI9nUUdNQ+nzK5U7MzJRLlnNyctC+fXszV0ZkOmaURNDYnEoS8P33wH/+U73vqaeA7dsBxp2aiik55XInglu+fLnaJRAZxYySCBqT0z//BKZPN2zq3n1XvpsEmzpqSkqfTzljZ2a8pRgRkbYkJsq/p4uJkZ9bWclLmfzrX/I2kdo4Yyc43q6JtI4ZJRGYktPDh4Hhw6uburZtgZ07gU8/ZVNH5sFbignOlK47OzsbHXjTQdIwZpRE0FBOvbyAuXPlu0oAwL33AiEhwODB5qmPCDDtfMoZO8Ft3rxZ7RKIjGJGSQT15bSkBJgzB3j//eqmbsIE4Lff2NSR+Sl9PmVjp0Hjx49XuwQio5hREkFdOU1Pl5cyWb26et+nn8oXSdx1lxmLI/r/lD6fsrHToPj4eLVLIDKKGSUR/DWnp08DI0bIiw8DgL09sGkTsHgxYMPl+kklSp9P2dhpkJ2dndolEBnFjJIIauZ0/Xpg9GggOVl+3r07cPQo8PrrKhVH9P8pfT5lY6dBjo6OapdAZBQzSiJwdHREYSHw9tvAW28BRUXy/pEjgVOn5Nk7IrUpfT5lY6dB0dHRapdAZBQzSiLYty8OI0cCPj7V+2bPBn79Vb73K5EWKH0+5XInZmbKJcvp6emcESFNY0ZJ63bsAGbOrEBenjx/0aqVfMEEv3olrTHlfMrlTgS3du1atUsgMooZJa0qLZWvcn3+eVQ1dQMHykuZsKkjLVL6fMoZOzPR6XTQ6XQoLy/HlStXeEsxIiKFxccDr74qN3GVXn4ZWLtWvqMEkag4Y6dBLi4u0Ov1iIqKanAsb9dEWseMktZs2QIMHVrd1NnaAs88sx9+fmzqSNt4SzHBmdJ1FxYWomXLlmaujMh0zChpRV4e8MEHgK9v9b577wX8/IC//Y05Je0z5XzKGTvBrVy5Uu0SiIxiRkkLoqOBYcMMm7o33pAXIh4+nDklMSidUzZ2GvSPf/xD7RKIjGJGSU0VFYCnp7we3e+/y/vatAE2bwY2bqz+6pU5JREonVM2dhp0+vRptUsgMooZJbWkpQGTJslXvpaWyvtGjABiYoDXXjMcy5ySCJTOKRs7DerSpYvaJRAZxYySGoKCgAceAEJDq/fNmyff+7V//9rjmVMSgdI55W2PNcje3l7tEoiMYkbJnLKzgblzgU2bqvd17So/f/LJ+t/HnJIIlM4pZ+w0KD4+Xu0SiIxiRslcfvlFnqWr2dRNnQrExhpv6gDmlMSgdE7Z2GnQY489pnYJREYxo9TUCgrkWbqnngJSUuR97drJV8AGBgKmfHvFnJIIlM4pGzsN2lTzP02JNIgZpaYUHg4MGQIsX16974kngPPngRkzACsr047DnJIIlM4pFyg2M1MWGayoqECLFuy5SbuYUWoKeXnyxRBeXtX7WrYEPDyA998HGhs55pREYEpOuUCx4BYsWKB2CURGMaOktNBQ4P77DZu60aPlZUw++KDxTR3AnJIYlM4pZ+zMjDN2ZAmYUVLKH3/Ia9L5+FTva9UKWLgQcHG5vYauEnNKIuCMXTPg7u6udglERjGjdKckCdi6FRg0yLCp+/vfgXPngA8/vLOmDmBOSQxK55QzdmZmStedlJSEXr16mbkyItMxo3Qnfv8deO89eSmTSm3byrcJe+cd0y+OaAhzSiIwJaecsRNceHi42iUQGcWM0u0oLga+/17+LV3Npm7qVECvB2bNUq6pA5hTEoPSOeWdJzSof133xiHSEGaUGis8HJgzB7h8uXpfr17AihXAc881zWcypyQCpXPKGTsz0el0cHJywogRIxocW1xcbIaKiG4fM0qmysgAZs4EHn+8uqmztpYvmLhwoemaOoA5JTEonVM2dmbi4uICvV6PqKioBsdmZGSYoSKi28eMUkPKy4G1a+WLI3x9q/c/+igQHQ0sXgy0adO0NTCnJAKlc8qvYjVo2LBhapdAZBQzSsZERspXtZ4+Xb2vQwd5CZNZs+78aldTMackAqVzyhk7DQoJCVG7BCKjmFGqS2qqfMuv0aMNm7pXXwUuXQJmzzZfUwcwpyQGpXPK5U7MzJRLlgsLC9GyZUszV0ZkOmaUaiouBn76Sb7iNT+/en/l/V7HjVOnLuaURGBKTrncieA8PT3VLoHIKGaUAHmR4W3bgMGD5Xu8VjZ1HTsCK1fKv6VTq6kDmFMSg9I55YydmTWm6yYi0qpjx+QrW0+cqN7XooX8dev33wOdOqlXG5Gl4Yyd4Nzc3NQugcgoZrT5iosDXngBGDPGsKl74gl5hm7lSu00dcwpiUDpnHLGzsxM6brT09Ph6Oho5sqITMeMNj+ZmcD//gd4eQFlZdX7//Y3eemSp59W9q4RSmBOSQSm5JQzdoLbuXOn2iUQGcWMNh9FRYCHB9C/v3whRGVT17WrvE5dTAwwaZL2mjqAOSUxKJ1TrmOnQc7OzmqXQGQUM2r5ysqATZuA774DkpKq97dqBXz2mfz7uqZeYPhOMackAqVzysZOg9LT09UugcgoZtRyVVTIV7r+5z/AlSvV+1u0AN56C/jvf4Hu3dWrrzGYUxKB0jllY6dBJSUlapdAZBQzankkCQgJAb79Fjh3zvC1SZPkr2Pvv1+d2m4Xc0oiUDqn/I2dBvXv31/tEoiMYkYthyQBBw4ADz8MTJli2NSNHw8cPQrs3SteUwcwpyQGpXPKxk6DDh8+rHYJREYxo5bh8GG5eXv6aeDUqer9Dz8MhIUBv/4qL2siKuaURKB0ToVt7FauXIm+ffvCwcEBzs7OOHr0qNHxhw8fhrOzMxwcHNCvXz+sWrWq1pjAwEA4OTnB3t4eTk5O2LFjR73Hc3d3h5WVFVxdXe/0r1LL66+/rvgxiZTEjIpLkoDQUPmOEI89Js/IVXrwQfnr2BMngCef1OaVro3BnJIIlM6pkI1dQEAAXF1d8fXXX+PMmTMYO3YsJk2ahKSal27VcPXqVUyePBljx47FmTNn8NVXX2Hu3LkIDAysGnP8+HG8/PLLmDFjBs6ePYsZM2bgpZdewsmTJ2sdLyoqCmvWrMGQIUOa5O+3YsWKJjkukVKYUfFIErBrF/Doo8DEiYYN3cCBQEAAcPo08Nxz4jd0lZhTEoHSORVygeJHHnkEw4YNg5eXV9W+wYMHY8qUKXB3d681ft68eQgJCcHFixer9s2ZMwdnz57F8ePHAQAvv/wycnNzsW/fvqoxTz/9NO666y74+flV7cvPz8ewYcOwcuVKuLm54aGHHsLSpUtNrp23FCMic6qoAIKCADc34OxZw9cGDQK+/hqYPh2w4aV0RJpl0QsUl5SUIDo6GhMmTDDYP2HCBERGRtb5nuPHj9caP3HiRJw6dQqlpaVGx/z1mC4uLnjmmWfw5JNPmlRvcXExcnNzDR4N4W1wSOuYUe0rLQW2bJEvepg2zbCpGzJEXtLk/Hng9dctt6ljTkkESudUuMYuMzMT5eXltW6/4ejoiLS0tDrfk5aWVuf4srIyZGZmGh1T85j+/v44ffp0nbOC9XF3d0f79u2rHj179gQAJCQkwMPDA8XFxVX/Ut3c3JCamor27dsjKioKBw4cQFBQEPR6PZYtW4bc3FyDsbdu3YJOp0NsbCxCQkKwZ88enD59GqtXr0ZGRobB2IKCAnh6euLy5cvYtm0bDh48iMjISGzYsAHJyckGY8vLy+Hu7o7ExERs2rQJERERCA8Ph7+/P+Li4rB48WIUFRUZvCctLQ1r165FVFQU9u/fjx07duD8+fNYvnw5cnJyDMZmZ2djxYoVOHfuHIKDg7F3715ER0djzZo1SE9PNxhbWFgIT09PxMXFISAgAIcOHcKxY8fg6+uLpKQkzJ8/HxUVFXBzc0NFRQXmz5+PpKQk+Pr64tixYzh06BACAgIQFxcHT09PFBYWGhw/PT0da9asQXR0NPbu3Yvg4GCcO3cOK1asQHZ2tsHYnJwcLF++HOfPn8eOHTuwf/9+REVFYe3atUhLSzMYW1RUhMWLFyMuLg7+/v4IDw9HREQENm3ahMTERLi7u6O8vNzgPcnJydiwYQMiIyNx8OBBbNu2DZcvX4anpycKCgoMxmZkZGD16tU4ffo09uzZg5CQEMTGxkKn0+HWrVsGY3Nzc7Fs2TLo9XoEBQXhwIEDiIqKgre3N1JTUw3GFhcXw8PDA/Hx8fDz80N4eDiOHj2KzZs349q1a1i4cCHKyspQVFRU9Z6UlBSsX78eJ06cQFhYGLZv345Lly5hyZIlyM/PNzh+ZmYmVq1ahZiYGOzevRu7du1CTEwMvLy8kJWVZTA2Ly8PS5cuhV6vR2BgIEJDQ3Hy5En4+PjUqru0tBSLFi1CQkICtmzZgiNHjuDIkSPYsmULEhISsGjRIpSWltb635qPjw9OnjyJ0NBQBAYGQq/XY+nSpcjLyzMYm5WVBS8vL8TExGDXrl3YvXs3YmJisGrVKmRmZhqMzc/Px5IlS3Dp0iVs374dYWFhOHHiBNavX4+UlBSDsWVlZVi4cCGuXbuGzZs34+jRowgPD4efnx/i4+PrPUd4e3vXe4749lsPLF0KdOmSg9dfB2p8UYEBA7Lx44/xmDNnNR57LAPu7pZ9jpgyZQrPESqdI2q+h+cI4+eI+++/v8FzRGJiIkwmCeb69esSACkyMtJgv5ubmzRw4MA63zNgwABpwYIFBvsiIiIkANKNGzckSZIkW1tbaevWrQZjNm/eLNnb20uSJElJSUnS3XffLcXExFS9Pn78eOmjjz4yWm9RUZGUk5NT9UhOTpYASDk5OfW+Z9myZUaPSaQ2ZlR7UlMl6csvJalDB0mSf1FX/Rg9WpL275ekigq1qzQv5pREYEpOc3JyGuwdKgk3Ad+5c2dYW1vXmp27efNmvTfR7dq1a53jbWxs0KlTJ6NjKo8ZHR2NmzdvGtz6o7y8HEeOHMGKFStQXFwMa2vrWp9tb28Pe3v7Rv0dH3/88UaNJzI3ZlQ7Ll4EPD3l23/9dZ3TyZOBzz+Xr4C1lAsiGoM5JREonVPhvoq1s7ODs7MzwsLCDPaHhYVh1KhRdb5n5MiRtcaHhoZi+PDhsLW1NTqm8phPPPEEzp07h5iYmKrH8OHD8dprryEmJqbOpu52xcXFKXYsoqbAjKpLkoAjR4B//ANwcgK8vaubOltb4M035d/P7dkjr1PXHJs6gDklMSidU+Fm7ADgk08+wYwZMzB8+HCMHDkSa9asQVJSEubMmQMA+PLLL3H9+nX4+voCkK+AXbFiBT755BPMmjULx48fh7e3t8HVrh999BHGjRuHRYsW4Z///Cd27tyJX375BREREQCAtm3b4v6/LL3eunVrdOrUqdb+O9WyZUtFj0ekNGZUHYWFgJ8fsGxZ7Stc27cH5swBPvwQuOcederTGuaURKB0ToVs7F5++WVkZWXhf//7H27cuIH7778fe/fuRe/evQEAN27cMFjTrm/fvti7dy8+/vhj6HQ6dO/eHcuWLcMLL7xQNWbUqFHw9/fHN998g2+//Rb9+/dHQEAAHnnkEbP//Sq/HibSKmbUvJKTAS8vYM0aICvL8LUePYCPPwbeeQfgCkqGmFMSgdI5FXIdO5GZshbN2rVrMWvWLDNXRmQ6ZrTpSRJw7Jg8OxcUBJSXG77+8MPA3LnASy/JX79SbcwpicCUnDZmHTshZ+ws3XPPPad2CURGMaNNJzcX2LoVWL0aiIkxfM3WVm7kPvwQUOHLBOEwpyQCpXMq3MUTzcG6devULoHIKGZUedHRwLvvAt27A++9Z9jU3X038J//AImJwObNbOpMxZySCJTOKb+KNTPeUoyIKuXnA/7+wKpVcmP3Vw8/LM/OTZsGNHLVJCKyIBZ9S7HmgLfBIa1jRu/M2bPA++/Ls3OzZhk2dW3ayFe3njkDnDwp3/KLTd3tYU5JBErnlDN2ZmZK111UVAQHBwczV0ZkOma08bKy5KVKNmyoe3Zu2DBg9mzglVeAtm3NXp5FYk5JBKbklDN2glu+fLnaJRAZxYyaprQU2LULeOEFoFs3+WvVmk1dq1bA228DUVHVv7FjU6cc5pREoHROeVWsBk2ZMkXtEoiMYkaNO3dOnpnbvBm4ebP2687OwFtvAa+9Ji8sTE2DOSURKJ1TzthpUHRd39MQaQgzWltmJrB8udy0DRkC/PijYVPn6Aj8619AbCxw6pT8Gzs2dU2LOSURKJ1TzthpUNeuXdUugcgoZlSWlwcEB8u/nQsLA8rKDF+3s5Pv5/rmm8DEiYANz7hmxZySCJTOKU8zGmTDsz9pXHPOaGEhsHev3Mzt2QMUFdUeM2IEMHMmMH06wLtaqac555TEoXRO+VWsBl29elXtEoiMam4ZLS0F9u+XmzVHR+DFF4HAQMOmrmdP4LPPgPPngd9+A1xc2NSprbnllMSkdE75nzMaNG7cOLVLIDKqOWS0rAw4ehTYtg34+Wf5N3R/1aWLfIuv6dOBUaOAFvxPZU1pDjkl8SmdU56GzESn08HJyQkjRoxocOzWrVvNUBHR7bPUjBYVycuTvPUW0LUr8Pe/y3eFqNnUtWsn/2buwAEgNRVYsQIYM4ZNnRZZak7JsiidUy5QbGamLDJYXl4Oa2trM1dGZDpLymhurvxbuR07gH375Nt8/VXLlsBzz8mLBz/9NMA1b8VgSTkly2VKTrlAseDc3d3VLoHIKNEzevMmsG4dMHmy/HXqq68C27cbNnWtW8v3aN26VR4fEABMmcKmTiSi55SaB6Vzyhk7M2tM101EyomLq56Zi4gAKipqj+nUSV6e5PnngSefZBNHRNrAGTvB8cbVpHUiZLSoSP4d3EcfAQMGAPfdB3z8MXDkiGFT16OHfKuvQ4eAtDTAxwd49lk2dZZAhJwSKZ1TztiZmSldd3JyMnr27GnmyohMp9WMJibKv5Pbuxc4eBAoKKh73MCB8qzc1KnA8OGAlZV56yTz0GpOiWoyJaecsRPcwYMH1S6ByCitZLS0FAgPBz7/HLj/fqBPH+C99+QrW2s2dTY2wGOPAR4egF4PXLoELFggLyTMps5yaSWnRMYonVOuY6dB9913n9olEBmlVkYlSf6t3C+/yI+DB+WrWuvStat8ccTkyfLv5Xhf1uaH51ISgdI5ZWOnQYWFhWqXQGSUOTOani43cJXNXHJy3eOsrIBHH61u5h56iGvLNXc8l5IIlM4pGzsNysrKUrsEIqOaMqP5+fIdHyobudjY+sd26gRMnCg3chMnAp07N1lZJCCeS0kESueUjZ0GPfjgg2qXQGSUkhnNzpaXHzlyBDh8GIiOBsrL6x7r4ACMHSt/tfrkk5yVI+N4LiURKJ1TNnYatHv3bgwcOFDtMojqdScZzcyUZ+QOH5YfZ8/Kv52ri5UV4Oxc3ciNHs1lSMh0PJeSCJTOKZc7MTNTLlkuKChAq1atzFwZkekak9HU1OpG7sgR4MIF4+MHDwbGjweeeEK+V2vHjgoUTM0Sz6UkAlNyyuVOBPfjjz+qXQKRUfVltKQE+O034KefgOnT5eVH7rlH3vbyqt3UWVnJX6fOnQsEBsoXSuj18tgXX2RTR3eG51ISgdI55YydmfGWYmRJrl8Hjh+XHydOyL+PKy6uf7y1tfzV6rhx8qzc6NHAXXeZr14iIhE1pnfgb+w0yM3NDd98843aZRAZKCgAYmKAkycBb289cnKckJJi/D2tWgEPPwyMGiU3ciNHAm3bmqVcIp5LSQhK55QzdmZmStedkZGBLl26mLkyomr5+XITd/q0PAsXHQ1cvGh4j9W63Huv3LyNHCmvKffAA/JdH4jUwHMpicCUnHLGTnBBQUGYPXu22mVQM5GfD5w5U93ARUfLt9xq6D/5WreWZ+MqG7lHHgH4/6GkJTyXkgiUzikbOw0aMWKE2iWQBZIk+QrV2Fjg3Dn5z+ho4PLlhps4Gxv5XqzOzsDw4UCHDhcxbdpgWFubp3ai28FzKYlA6ZyysTMTnU4HnU6H8vpWXq3hxo0bZqiILNmffwLnzxs2cefOAbduNfxeW9vqJq7y8cADhuvH7dmTAGvrwU33FyBSAM+lJAKlc8rGzkxcXFzg4uJS9T25MaY0f0SAvLzI77/Lv3+rbOBiY4GEhIZn4QC5iXvggdpNnL298fcxoyQC5pREoHRO2dhpUJ8+fdQugTQmJ0f+3dvFi4Z/xsfXf/utv+reXW7ahgyRHw88AAwa1HATVxdmlETAnJIIlM4pGzsNOnr0KIYMGaJ2GWRmFRXyunCXL9du4BozU9+qlfxV6l+buE6dlKuVGSURMKckAqVzyuVOzMyUS5Zv3bqFjlxy3yKVlQFJSfLXpzUf8fHyw9jivn/VsqU841b5uP9+uYnr1w9o0cT3lGFGSQTMKYnAlJxyuRPBrVy5kotqCiw7G0hMBK5dkx81m7erV+XmrjG6dJHvnzpokOGfPXs2fQNXH2aURMCckgiUziln7MyMtxQTmyQBmZlyw5aYWN3A1dzOzW38ce3tgf795QV+BwyobuAGDVL2K1QiIhIPZ+wEx9vgqKOiArh5U/6dW12PlBS5eSsouL3jt24tN251Pbp3V2/27XYwoyQC5pREwFuKCc6Urjs3N5ezeQqSJHn9tps3gfT0+hu3Gzca/zVpTba2QK9eQO/e8qNPH/nPyubt7rsBKyvF/lqqYkZJBMwpicCUnHLGTnAbNmzA3Llz1S5D00pKgKwsuVGrbNgqHzWf37wpP+6kYavk4GDYsNXc7tMH6NoVzeZODMwoiYA5JREonVM2dhr05JNPql2C2ZSUyGu0ZWfLjdqtW/KflY/6nufnK1tHly7APffUfnTvXr3dsaPlzLjdqeaUURIXc0oiUDqnbOw06NKlS3ByclK7jHqVlcm3rCooqP4zL09u0HJzG/dnY5b3aCwbG/nrT0dHwz9rNmv33AN063Z7i/Q2Z1rPKBHAnJIYlM4pGztNao/ERPnH/OXl8qPm9l+f1/daSYncOFX+aeqjpERu1mo2bn/+Wb1dUqLOPxUbG3nWrFMn+dGxo9ys/bVxq9zXoYNYFySIpHXr1mqXQNQg5pREoHRO2dhp0J49g/HCC2pX0TRatADatwfatTP8s317w4atcrvmvnbt+FWoVnDRVxIBc0oiUDqnbOw0KCMjDUB3tcsAIF/p2bq1fJuqmn/+dV+bNtUN2l+btpp/tm7N5swSxMbGYsSIEWqXQWQUc0oiUDqnbOw06Nln+6BlS/kKyxYt5D+Nbdf3mq2t/NsxYw87u7r3t2wpN2y2tmr/0yAtmjRpktolEDWIOSURKJ1TNnYadPPmSgQEcFFN0i4fHx8u/Eqax5ySCJTOKRcoNjPeUoyIiIgaozG9A68Z1CA3Nze1SyAyihklETCnJAKlc8oZOzPR6XTQ6XQoLy/HlStXjHbdxcXFsOfCaqRhzCiJgDklEZiSU87YaZCLiwv0ej2ioqIaHPvTTz+ZoSKi28eMkgiYUxKB0jnlxRNmVjlBmpubW++YCRMmGH2dSG3MKImAOSURmJLTytdN+ZKVjZ2Z5eXlAQB69uypciVEREQkkry8PLRv397oGP7GzswqKiqQmpqKtm3bwqqOlXpzc3PRs2dPJCcna/6q2REjRpj01bIWiFKrCHWKlFFAjH+mgDh1AmLUypw2DdapLFNzKkkS8vLy0L17d7Ro4F6ZnLEzsxYtWqBHjx4NjmvXrp3mT0bW1taar7GSKLWKUicgRkYBcf6ZilInIFatzKmyWGfTMCWnDc3UVeLFE3TbXFxc1C7BZKLUKkqdIhHln6kodQJi1SoKUf6Zsk7t41exGsMFjEnrmFESAXNKImiKnHLGTmPs7e3xn//8h2svkWYxoyQC5pRE0BQ55YwdERERkYXgjB0RERGRhWBjR0RERGQh2NgRERERWQg2dkREREQWgo0dEdXy559/Ys+ePXjqqafULoWoXjdv3sTmzZuxdetW/Otf/0JZWZnaJRHVYu7zKRs7DYmKioKrqys2btyId999F1evXlW7JGqmWrdujWeeeQalpaVql0JUr0OHDiE7OxuvvvoqSktL8csvv6hdElEt5j6f8pZiGlFcXIxp06bh5MmTcHR0xH333Yf/+7//Q3h4uNqlERFp0vTp06u209LSMGjQIBWrIdIGzthpxJEjR9CuXTs4OjoCAB5++GGcOHEC6enpKldGRKRte/bswbRp09CnTx+1SyFSHRs7jbh27Ro6duxY9dza2hpt27bFhQsXVKyKiEjboqKi4OjoiGnTpkGv16tdDpHq2NhpRGZmJhwcHAz2OTg4IDs7W52CqFkrLi7G1q1bce3aNfj5+aG4uFjtkohqOX78ON5++2188cUXGDduHHgjJdIic59PeUsxjVi5ciV27tyJAwcOVO276667sHPnTowbN07Fyojq9t133+Hnn39Gfn4+HBwcUFRUBAcHBzz88MPw9fVVuzwiAMwpiUHJnHLGTiMGDRqEmzdvVj0vLi5GXl4eevfurWJVRHX7+eef8fe//x1nz57FRx99BL1ej9mzZ+PSpUv8P0vSDOaURKB0TnlVrEaMGzcON2/eREpKCnr06IHDhw9jxIgRbOxIFVZWVnXur5zgf/7559GiRQscOHAAQ4YMwYULF9CmTRtzlkjEnJIQzJ1TzthphI2NDTZu3Ij58+dj48aN8Pf3x5YtW9Qui5opSZLqfFRq0UI+daxfvx5jxoxBfHy8WqVSM8ackgjMnVPO2GnIk08+iSeffBIAMHPmTJWroebs5s2b8Pf3x9/+9jdcvXoV77zzTq0xFy9eREFBAezt7VFcXIzY2FgVKqXmjDklERQUFMDf3x9dunRBcHAw1q5dW9XMVVIyp5yxI6JaFi1ahAcffBBPPPEErly5gri4uFpjdu3aVfUfIEOGDEFGRoa5y6RmjjklEVy8eBHx8fF49tlnce7cuTqvilUyp7wqlohqWbVqFbp164Z//vOfmD17Np544gm89NJLapdFZIA5JVFkZGQgICAAHTp0wOuvv96kn8UZOyKqZc6cOXBwcMCxY8dgY2MDe3t7tUsiqoU5JVF06dIFH3zwAbZs2YJLly416WexsSOiWvbu3Yvi4mKMHj0aubm5eOyxx9QuiagW5pREoNPpsHr1agDyhZJNfREPv4ololquXLmCffv2wcHBAT169MAzzzyjdklEtTCnJAK9Xo+YmBi0bt0aJ0+exPfffw9ra+sm+zw2dkREREQWgl/FEhEREVkINnZEREREFoKNHREREZGFYGNHREREZCHY2BERERFZCDZ2RERERBaCjR0RERGRhWBjR0RERGQh2NgRERERWQg2dkREREQWgo0dERERkYVgY0dERERkIdjYEREREVkINnZEREREFoKNHREREZGFYGNHRGQmly5dwuzZszFmzBiMGTMGp06dqnOcJEl4//33kZqaauYKiUh0VpIkSWoXQUTUHPz00094++23UVpainvvvRf29va4evUq7O3tDcZ9/fXXGDVqFJ555hmVKiUiUXHGjojITD766CO0adMGd911F959913cuHEDP//8s8EYnU6H/v37s6kjotvCxo6ISAXvvvsuWrRoAV9f36p9O3bsQHZ2Nt566y0VKyMikfGrWCIilTz99NP45ZdfkJaWhitXrmDbtm1YunSp2mURkcBs1C6AiKi5evHFF3HgwAF4enoiLS0N69atU7skIhIcZ+yIiFSSnp6O7t27o3fv3rhw4QJatmxp8HpBQQG8vb3h4OAASZIQFhaGDz/8EOPGjVOpYiLSOs7YERGpxMbGBu3bt0dGRgZatKj9k+f169ejZ8+emDJlCgDAysoKFRUVZq6SiETCiyeIiFRQWFgIFxcXvPbaa8jPz8fBgwdrjenSpQtcXV3x448/IioqCtOmTcPQoUNVqJaIRMGvYomIzKy8vBxvv/02Pv/8c1hZWcHJyQkzZswwuEK20saNG7F+/XpER0dj2LBh2LVrF9q1a6dC1UQkAjZ2RERm5urqiueff77qt3JDhgzB77//jtTUVHTo0KFq3Pbt2zF16lTY2NggPz8f7733HkaMGIG5c+eqVDkRaR2/iiUiMqMFCxZg9OjRBhdAzJw5E4WFhdiyZYvB2AsXLiA4OBgA0KZNG0ydOhWdO3c2Z7lEJBjO2BERmcmGDRuQnZ0NV1dXg/23bt1C37594ejoiPPnz+PWrVvYt28fMjIykJ+fjy5dusDGxgZ//PEH5s2bB2tra3X+AkSkeWzsiIjM4Ny5c/Dz88OCBQvqfP3QoUP417/+hS5duuCee+7B999/jx49epi5SiISHRs7IiIiIgvB39gRERERWQg2dkREREQWgo0dERERkYVgY0dERERkIdjYEREREVkINnZEREREFoKNHREREZGFYGNHREREZCHY2BERERFZCDZ2RERERBaCjR0RERGRhfh/tN+ku9mQlRQAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = plot(3/(4*pi)*sin(x)^6/(1 - cos(3*x))^3, (x, 0, pi/3), \n", " color='blue', thickness=2, \n", " axes_labels=[r'$\\chi_{\\rm s}$', r'$\\rho_{\\rm hb} m^2$'],\n", " ticks=[pi/8, None], tick_formatter=[pi, None],\n", " frame=True, axes=False, gridlines=True)\n", "graph.show(ticks=pi/9)\n", "graph.save(\"lem_OS_rho_hb.pdf\", ticks=pi/9)" ] }, { "cell_type": "markdown", "id": "2e69a23e", "metadata": {}, "source": [ "## Plot of the interior region in the $(\\eta,\\chi)$ plane\n", "\n", "Constant $\\chi$ lines" ] }, { "cell_type": "code", "execution_count": 21, "id": "797c9541", "metadata": {}, "outputs": [], "source": [ "graph = S.plot(S, ambient_coords=(chi, eta), style={eta: '-', chi: '--'},\n", " number_values={eta: 2, chi: 9})" ] }, { "cell_type": "markdown", "id": "f4377ffe", "metadata": {}, "source": [ "Constant $\\tau$ lines" ] }, { "cell_type": "code", "execution_count": 22, "id": "1e890df6", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left[0.000000000000000, 1.11072073453959, 2.22144146907918, 3.33216220361878, 4.44288293815837, 5.55360367269796, 6.66432440723755, 7.77504514177714, 8.88576587631673\\right]\$$" ], "text/latex": [ "$\\displaystyle \\left[0.000000000000000, 1.11072073453959, 2.22144146907918, 3.33216220361878, 4.44288293815837, 5.55360367269796, 6.66432440723755, 7.77504514177714, 8.88576587631673\\right]$" ], "text/plain": [ "[0.000000000000000,\n", " 1.11072073453959,\n", " 2.22144146907918,\n", " 3.33216220361878,\n", " 4.44288293815837,\n", " 5.55360367269796,\n", " 6.66432440723755,\n", " 7.77504514177714,\n", " 8.88576587631673]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tau_sel = [numerical_approx(i*tau_end/8) for i in range(9)]\n", "tau_sel" ] }, { "cell_type": "code", "execution_count": 23, "id": "f9972502", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left[0.0, 0.1969852777521357, 0.39790775618592655, 0.6073795752895496, 0.8317111935799412, 1.0810453707259005, 1.3752523669869274, 1.7683424316081915, 3.141592653589793\\right]\$$" ], "text/latex": [ "$\\displaystyle \\left[0.0, 0.1969852777521357, 0.39790775618592655, 0.6073795752895496, 0.8317111935799412, 1.0810453707259005, 1.3752523669869274, 1.7683424316081915, 3.141592653589793\\right]$" ], "text/plain": [ "[0.0,\n", " 0.1969852777521357,\n", " 0.39790775618592655,\n", " 0.6073795752895496,\n", " 0.8317111935799412,\n", " 1.0810453707259005,\n", " 1.3752523669869274,\n", " 1.7683424316081915,\n", " 3.141592653589793]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eta_sel = [etaf(tau0) for tau0 in tau_sel]\n", "eta_sel" ] }, { "cell_type": "code", "execution_count": 24, "id": "e8a9c918", "metadata": {}, "outputs": [], "source": [ "iso_taus = [I.curve({S: [eta0, chi]}, (chi, 0, chis)) for eta0 in eta_sel]" ] }, { "cell_type": "code", "execution_count": 25, "id": "206f8d54", "metadata": {}, "outputs": [], "source": [ "for iso_tau in iso_taus:\n", " graph += iso_tau.plot(chart=S, ambient_coords=(chi, eta), color='red',\n", " style='--')" ] }, { "cell_type": "markdown", "id": "d11a62c1", "metadata": {}, "source": [ "The stellar surface:" ] }, { "cell_type": "code", "execution_count": 26, "id": "0af9a731", "metadata": {}, "outputs": [], "source": [ "surf = I.curve({S: [eta, chis]}, (eta, 0, pi)) \n", "graph += surf.plot(S, ambient_coords=(chi, eta), thickness=3)" ] }, { "cell_type": "markdown", "id": "dec0a78a", "metadata": {}, "source": [ "The star at $\\eta=0$:" ] }, { "cell_type": "code", "execution_count": 27, "id": "0ab3602c", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 22 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "init= I.curve({S: [0, chi]}, (chi, 0, chis)) \n", "graph += init.plot(S, ambient_coords=(chi, eta), \n", " color='magenta', thickness=3)\n", "graph.show(figsize=8)" ] }, { "cell_type": "markdown", "id": "802c2d66", "metadata": {}, "source": [ "## Null radial geodesics in the interior" ] }, { "cell_type": "markdown", "id": "205ba1ee", "metadata": {}, "source": [ "### Functions initializing the internal null geodesics" ] }, { "cell_type": "code", "execution_count": 28, "id": "7f37e9b5", "metadata": {}, "outputs": [], "source": [ "def geod_int_out(etas):\n", " r\"\"\"\n", " Internal outgoing radial null geodesic ending at\n", " (eta, chi) = (etas, chis)\n", " \"\"\"\n", " chi_min = 0 if etas > chis else chis - etas\n", " return I.curve({S: [chi - chis + etas, chi]}, (chi, chi_min, chis))\n", "\n", "def geod_int_in(etas):\n", " r\"\"\"\n", " Internal ingoing radial null geodesic starting at\n", " (eta, chi) = (etas, chis)\n", " \"\"\"\n", " chi_min = 0 if etas < pi - chis else etas - pi + chis\n", " return I.curve({S: [chis - chi + etas, chi]}, (chi, chi_min, chis))" ] }, { "cell_type": "markdown", "id": "52b0b3f9", "metadata": {}, "source": [ "### The event horizon" ] }, { "cell_type": "code", "execution_count": 29, "id": "cb14aca5", "metadata": {}, "outputs": [], "source": [ "hor_int = geod_int_out(pi - 2*chis)\n", "graph += hor_int.plot(chart=S, ambient_coords=(chi, eta),\n", " color='black', thickness=3)" ] }, { "cell_type": "markdown", "id": "d8fc77ab", "metadata": {}, "source": [ "### The final singularity" ] }, { "cell_type": "code", "execution_count": 30, "id": "14658ce0", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 24 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matter_sing = I.curve({S: [pi, chi]}, (chi, 0, chis))\n", "\n", "graph += line([(0 + i*chis/8, pi) for i in range(9)], \n", " thickness=3, color='darkorange',\n", " marker='D', markersize=10)\n", "graph.show(frame=True, axes_pad=0, figsize=8)" ] }, { "cell_type": "markdown", "id": "e0ced4d0", "metadata": {}, "source": [ "## Eddington-Finkelstein-type coordinates for the interior" ] }, { "cell_type": "code", "execution_count": 31, "id": "7a11a14c", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left[\\left(I,({\\eta}, {\\chi})\\right), \\left(I,({\\tilde{t}}, r)\\right)\\right]\$$" ], "text/latex": [ "$\\displaystyle \\left[\\left(I,({\\eta}, {\\chi})\\right), \\left(I,({\\tilde{t}}, r)\\right)\\right]$" ], "text/plain": [ "[Chart (I, (eta, chi)), Chart (I, (ti, r))]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "EFI = EF.restrict(I)\n", "I.atlas()" ] }, { "cell_type": "code", "execution_count": 32, "id": "97fbff93", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left\\{\\begin{array}{lcl} {\\tilde{t}} & = & 4 \\, {\\eta} + 4 \\, \\log\\left(\\cos\\left(\\frac{1}{2} \\, {\\eta}\\right) + \\sin\\left(\\frac{1}{2} \\, {\\eta}\\right)\\right) + 2 \\, \\sin\\left({\\eta}\\right) \\\\ r & = & 2 \\, \\sqrt{2} {\\left(\\cos\\left({\\eta}\\right) + 1\\right)} \\sin\\left({\\chi}\\right) \\end{array}\\right.\$$" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} {\\tilde{t}} & = & 4 \\, {\\eta} + 4 \\, \\log\\left(\\cos\\left(\\frac{1}{2} \\, {\\eta}\\right) + \\sin\\left(\\frac{1}{2} \\, {\\eta}\\right)\\right) + 2 \\, \\sin\\left({\\eta}\\right) \\\\ r & = & 2 \\, \\sqrt{2} {\\left(\\cos\\left({\\eta}\\right) + 1\\right)} \\sin\\left({\\chi}\\right) \\end{array}\\right.$" ], "text/plain": [ "ti = 4*eta + 4*log(cos(1/2*eta) + sin(1/2*eta)) + 2*sin(eta)\n", "r = 2*sqrt(2)*(cos(eta) + 1)*sin(chi)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S_to_EF = S.transition_map(EFI, \n", " [2*(sqrt(r0/2 - 1)*(eta + r0/4*(eta + sin(eta))) \n", " + 2*ln(cos(eta/2) + sin(eta/2)/sqrt(r0/2 - 1))),\n", " r0*sin(chi)/sin(chis)/2*(1 + cos(eta))])\n", "S_to_EF.display()" ] }, { "cell_type": "code", "execution_count": 33, "id": "bcacff29", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left(4 \\, {\\eta} + 4 \\, \\log\\left(\\cos\\left(\\frac{1}{2} \\, {\\eta}\\right) + \\sin\\left(\\frac{1}{2} \\, {\\eta}\\right)\\right) + 2 \\, \\sin\\left({\\eta}\\right), 2 \\, \\sqrt{2} \\cos\\left({\\eta}\\right) \\sin\\left({\\chi}\\right) + 2 \\, \\sqrt{2} \\sin\\left({\\chi}\\right)\\right)\$$" ], "text/latex": [ "$\\displaystyle \\left(4 \\, {\\eta} + 4 \\, \\log\\left(\\cos\\left(\\frac{1}{2} \\, {\\eta}\\right) + \\sin\\left(\\frac{1}{2} \\, {\\eta}\\right)\\right) + 2 \\, \\sin\\left({\\eta}\\right), 2 \\, \\sqrt{2} \\cos\\left({\\eta}\\right) \\sin\\left({\\chi}\\right) + 2 \\, \\sqrt{2} \\sin\\left({\\chi}\\right)\\right)$" ], "text/plain": [ "(4*eta + 4*log(cos(1/2*eta) + sin(1/2*eta)) + 2*sin(eta),\n", " 2*sqrt(2)*cos(eta)*sin(chi) + 2*sqrt(2)*sin(chi))" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S_to_EF(eta, chi)" ] }, { "cell_type": "code", "execution_count": 34, "id": "9bae9a85", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left( {\\eta}, {\\chi} \\right) \\ {\\mapsto} \\ 2 \\, \\sqrt{2} \\cos\\left({\\eta}\\right) \\sin\\left({\\chi}\\right) + 2 \\, \\sqrt{2} \\sin\\left({\\chi}\\right)\$$" ], "text/latex": [ "$\\displaystyle \\left( {\\eta}, {\\chi} \\right) \\ {\\mapsto} \\ 2 \\, \\sqrt{2} \\cos\\left({\\eta}\\right) \\sin\\left({\\chi}\\right) + 2 \\, \\sqrt{2} \\sin\\left({\\chi}\\right)$" ], "text/plain": [ "(eta, chi) |--> 2*sqrt(2)*cos(eta)*sin(chi) + 2*sqrt(2)*sin(chi)" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rr(eta, chi) = S_to_EF(eta, chi)[1]\n", "rr" ] }, { "cell_type": "markdown", "id": "8681f1b0", "metadata": {}, "source": [ "Adding isocontours $r = \\mathrm{const}$:" ] }, { "cell_type": "code", "execution_count": 35, "id": "50db37c0", "metadata": {}, "outputs": [], "source": [ "graph += contour_plot(rr(eta, chi), (chi, 0, chis), (eta, 0, 3.13), \n", " contours=[0.5, 1., 1.5, 2., 2.5, 3., 3.5], \n", " fill=False, labels=True, label_colors='black',\n", " label_inline=True, label_inline_spacing=10)" ] }, { "cell_type": "code", "execution_count": 36, "id": "70a04bb4", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 25 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph.show(frame=True, axes_pad=0, ticks=[pi/8,pi/8], tick_formatter=(pi,pi), \n", " fontsize=16, axes_labels_size=1.2, figsize=10)" ] }, { "cell_type": "code", "execution_count": 37, "id": "bd93ecf8", "metadata": {}, "outputs": [], "source": [ "ITH = I.curve({S: [pi - 2*chi, chi]}, (chi, 0, chis))\n", "\n", "graph += ITH.plot(chart=S, ambient_coords=(chi, eta), color='blue', \n", " thickness=3, style=':', label_axes=False)" ] }, { "cell_type": "code", "execution_count": 38, "id": "9791dcf9", "metadata": {}, "outputs": [], "source": [ "graph_trap = copy(graph)" ] }, { "cell_type": "markdown", "id": "c2bfc501", "metadata": {}, "source": [ "A selection of null geodesics:" ] }, { "cell_type": "code", "execution_count": 39, "id": "a23c9e87", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 43 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geod_int_out_sel = [geod_int_out(etas) for etas in eta_sel]\n", "geod_int_in_sel = [geod_int_in(etas) for etas in eta_sel]\n", "\n", "for geod in geod_int_out_sel:\n", " graph += geod.plot(chart=S, ambient_coords=(chi, eta),\n", " color='green', thickness=2)\n", "\n", "for geod in geod_int_in_sel[:-1]:\n", " graph += geod.plot(chart=S, ambient_coords=(chi, eta),\n", " color='green', thickness=1, style='--')\n", "\n", "graph.show(frame=True, axes=False, axes_pad=0, ticks=[pi/8,pi/4], \n", " tick_formatter=(pi,pi), fontsize=16, axes_labels_size=1.2, \n", " xmax=pi/4+0.015, ymin=-0.015, figsize=10)\n", "graph.save('lem_OS_diag_int.pdf', frame=True, axes=False, axes_pad=0, \n", " ticks=[pi/8,pi/4], tick_formatter=(pi,pi), fontsize=16, \n", " axes_labels_size=1.2, xmax=pi/4+0.015, ymin=-0.015, figsize=10)" ] }, { "cell_type": "markdown", "id": "ccc4b608", "metadata": {}, "source": [ "## Trapped surfaces" ] }, { "cell_type": "code", "execution_count": 40, "id": "c4ffe802", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 44 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(9):\n", " etas = pi/8*i \n", " graph_trap += geod_int_out(etas).plot(chart=S, \n", " ambient_coords=(chi, eta),\n", " color='green', thickness=2)\n", " graph_trap += geod_int_in(etas).plot(chart=S, \n", " ambient_coords=(chi, eta),\n", " color='green', thickness=1, \n", " style='--')\n", "graph_trap.show(frame=True, axes_pad=0, ticks=[pi/8,pi/4], tick_formatter=(pi,pi), \n", " fontsize=16, axes_labels_size=1.2, figsize=10)" ] }, { "cell_type": "markdown", "id": "717b405d", "metadata": {}, "source": [ "Adding $r$ isocontours near the trapped surface at \n", "$(\\eta,\\chi) = \\left(\\frac{11\\pi}{6}, \\frac{3\\pi}{16} \\right)$:" ] }, { "cell_type": "code", "execution_count": 41, "id": "28527ca6", "metadata": {}, "outputs": [], "source": [ "tsp = I((11*pi/16, 3*pi/16), chart=S)" ] }, { "cell_type": "code", "execution_count": 42, "id": "e9f53732", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left(\\frac{11}{16} \\, \\pi, \\frac{3}{16} \\, \\pi\\right)\$$" ], "text/latex": [ "$\\displaystyle \\left(\\frac{11}{16} \\, \\pi, \\frac{3}{16} \\, \\pi\\right)$" ], "text/plain": [ "(11/16*pi, 3/16*pi)" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S(tsp)" ] }, { "cell_type": "code", "execution_count": 43, "id": "2029ac74", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left(\\frac{11}{4} \\, \\pi + 4 \\, \\log\\left(\\cos\\left(\\frac{11}{32} \\, \\pi\\right) + \\sin\\left(\\frac{11}{32} \\, \\pi\\right)\\right) + 2 \\, \\sin\\left(\\frac{5}{16} \\, \\pi\\right), -2 \\, \\sqrt{2} \\cos\\left(\\frac{5}{16} \\, \\pi\\right) \\sin\\left(\\frac{3}{16} \\, \\pi\\right) + 2 \\, \\sqrt{2} \\sin\\left(\\frac{3}{16} \\, \\pi\\right)\\right)\$$" ], "text/latex": [ "$\\displaystyle \\left(\\frac{11}{4} \\, \\pi + 4 \\, \\log\\left(\\cos\\left(\\frac{11}{32} \\, \\pi\\right) + \\sin\\left(\\frac{11}{32} \\, \\pi\\right)\\right) + 2 \\, \\sin\\left(\\frac{5}{16} \\, \\pi\\right), -2 \\, \\sqrt{2} \\cos\\left(\\frac{5}{16} \\, \\pi\\right) \\sin\\left(\\frac{3}{16} \\, \\pi\\right) + 2 \\, \\sqrt{2} \\sin\\left(\\frac{3}{16} \\, \\pi\\right)\\right)$" ], "text/plain": [ "(11/4*pi + 4*log(cos(11/32*pi) + sin(11/32*pi)) + 2*sin(5/16*pi),\n", " -2*sqrt(2)*cos(5/16*pi)*sin(3/16*pi) + 2*sqrt(2)*sin(3/16*pi))" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "EF(tsp)" ] }, { "cell_type": "code", "execution_count": 44, "id": "6fb43101", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle 0.698372454547306\$$" ], "text/latex": [ "$\\displaystyle 0.698372454547306$" ], "text/plain": [ "0.698372454547306" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rts = n(EF(tsp)[1])\n", "rts" ] }, { "cell_type": "code", "execution_count": 45, "id": "7acb695b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 48 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_trap += contour_plot(rr(eta, chi), (chi, 0, chis), (eta, 0, 3.13), \n", " contours=[rts - 0.05, rts, rts + 0.05], \n", " fill=False, labels=True, label_colors='black',\n", " label_inline=True, label_inline_spacing=10)\n", "graph_trap += tsp.plot(chart=S, ambient_coords=(chi, eta), color='brown',\n", " label=' ', size=60) \\\n", " + text(r\"$\\mathscr{S}$\", (0.63, 2.16), color='brown', fontsize=18)\n", "graph_trap.show(frame=True, axes_pad=0, ticks=[pi/8,pi/8], tick_formatter=(pi,pi),\n", " figsize=8, xmax=pi/4+0.005, ymin=1.4, ymax=2.5)\n", "graph_trap.save('lem_OS_diag_int_zoom.pdf', frame=True, axes_pad=0, ticks=[pi/8,pi/8], \n", " tick_formatter=(pi,pi), figsize=8, xmax=pi/4+0.005, ymin=1.4, ymax=2.5)" ] }, { "cell_type": "markdown", "id": "8375b279", "metadata": {}, "source": [ "## Plots in terms of Eddington-Finkelstein coordinates" ] }, { "cell_type": "code", "execution_count": 46, "id": "584f6a1b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 22 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = S.plot(EFI, ambient_coords=(r, ti), style={eta: '-', chi: '--'},\n", " number_values={eta: 2, chi: 9}, label_axes=False) \n", "\n", "# The stellar surface:\n", "graph += surf.plot(EFI, ambient_coords=(r, ti), fixed_coords={chi: chis}, \n", " thickness=3, label_axes=False)\n", "\n", "# Constant tau lines:\n", "for iso_tau in iso_taus:\n", " graph += iso_tau.plot(chart=EFI, ambient_coords=(r, ti), color='red',\n", " style='--', label_axes=False)\n", "\n", "# The initial star:\n", "graph += init.plot(chart=EFI, ambient_coords=(r, ti), \n", " fixed_coords={chi: chis}, color='magenta', \n", " thickness=3, label_axes=False)\n", " \n", "graph.axes_labels([r'$r/m$', r'$\\tilde{t}/m$'])\n", "graph.show(figsize=10)" ] }, { "cell_type": "markdown", "id": "feaf5beb", "metadata": {}, "source": [ "### Coordinate $\\tilde{t}$ of the collapse end point\n", "\n", "The collapse end point correspond to $\\eta = \\pi$; it is thus given by I((pi, 0)) and its $\\tilde{t}$ coordinate is obtained via the chart EF:" ] }, { "cell_type": "code", "execution_count": 47, "id": "cbc10616", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left(4 \\, \\pi, 0\\right)\$$" ], "text/latex": [ "$\\displaystyle \\left(4 \\, \\pi, 0\\right)$" ], "text/plain": [ "(4*pi, 0)" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "EF(I((pi, 0)))" ] }, { "cell_type": "code", "execution_count": 48, "id": "610246f6", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle 4 \\, \\pi\$$" ], "text/latex": [ "$\\displaystyle 4 \\, \\pi$" ], "text/plain": [ "4*pi" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ti_end = EF(I((pi, 0)))[0]\n", "ti_end" ] }, { "cell_type": "markdown", "id": "b229c36e", "metadata": {}, "source": [ "### Drawing the singularity" ] }, { "cell_type": "markdown", "id": "3b9414bf", "metadata": {}, "source": [ "Maximal value of $\\tilde{t}$ for plots:" ] }, { "cell_type": "code", "execution_count": 49, "id": "c595ad7f", "metadata": {}, "outputs": [], "source": [ "timax = 17" ] }, { "cell_type": "code", "execution_count": 50, "id": "37a57ded", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 23 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph += line([(0, ti_end + i*(40 - ti_end)/80) for i in range(81)], \n", " thickness=3, color='darkorange', marker='D', markersize=10)\n", "graph.set_axes_range(xmin=0, xmax=10, ymin=0, ymax=timax)\n", "graph.axes_labels([r'$r/m$', r'$\\tilde{t}/m$'])\n", "graph.show(frame=True, figsize=10, axes_pad=0)" ] }, { "cell_type": "markdown", "id": "f6fd2cc4", "metadata": {}, "source": [ "### The event horizon" ] }, { "cell_type": "code", "execution_count": 51, "id": "459fe201", "metadata": {}, "outputs": [], "source": [ "graph += hor_int.plot(chart=EFI, ambient_coords=(r, ti), color='black', \n", " thickness=3, label_axes=False)" ] }, { "cell_type": "code", "execution_count": 52, "id": "31266846", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\text{Point on the 2-dimensional Lorentzian manifold M}\$$" ], "text/latex": [ "$\\displaystyle \\text{Point on the 2-dimensional Lorentzian manifold M}$" ], "text/plain": [ "Point on the 2-dimensional Lorentzian manifold M" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hor_int(chis)" ] }, { "cell_type": "code", "execution_count": 53, "id": "1df48cf5", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left(2 \\, \\pi + 2 \\, \\log\\left(2\\right) + 2, 2\\right)\$$" ], "text/latex": [ "$\\displaystyle \\left(2 \\, \\pi + 2 \\, \\log\\left(2\\right) + 2, 2\\right)$" ], "text/plain": [ "(2*pi + 2*log(2) + 2, 2)" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "EF(hor_int(chis))" ] }, { "cell_type": "code", "execution_count": 54, "id": "c30000ea", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$$\\displaystyle \\left(2 \\, \\pi + 2 \\, \\log\\left(2\\right) + 2, 9.66947966829948\\right)\$$" ], "text/latex": [ "$\\displaystyle \\left(2 \\, \\pi + 2 \\, \\log\\left(2\\right) + 2, 9.66947966829948\\right)$" ], "text/plain": [ "(2*pi + 2*log(2) + 2, 9.66947966829948)" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tiH = EF(hor_int(chis))[0]\n", "tiH, n(tiH)" ] }, { "cell_type": "code", "execution_count": 55, "id": "f9846b72", "metadata": {}, "outputs": [], "source": [ "hor_ext = M.curve({EF: (ti, 2)}, (ti, tiH, 40))" ] }, { "cell_type": "code", "execution_count": 56, "id": "132f561e", "metadata": {}, "outputs": [], "source": [ "graph += hor_ext.plot(chart=EF, ambient_coords=(r, ti), color='black', \n", " thickness=3, label_axes=False)" ] }, { "cell_type": "markdown", "id": "0835704c", "metadata": {}, "source": [ "Adding the inner trapping horizon:" ] }, { "cell_type": "code", "execution_count": 57, "id": "f8612717", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 26 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph += ITH.plot(EFI, ambient_coords=(r, ti), color='blue', \n", " thickness=3, style=':', label_axes=False)\n", "graph.set_axes_range(xmin=0, xmax=10, ymin=0, ymax=timax)\n", "graph.show(figsize=10)" ] }, { "cell_type": "code", "execution_count": 58, "id": "71bf4243", "metadata": {}, "outputs": [], "source": [ "graph_delay = copy(graph)" ] }, { "cell_type": "markdown", "id": "673153a6", "metadata": {}, "source": [ "### Functions initializing the external null geodesics" ] }, { "cell_type": "code", "execution_count": 59, "id": "b4d1b007", "metadata": {}, "outputs": [], "source": [ "def geod_ext_out_I(tis, rs, rm):\n", " r\"\"\"\n", " External outgoing radial null geodesic starting from\n", " (ti, r) = (tis, rs) in region I\n", " \"\"\"\n", " return M.curve({EF: [tis + r - rs + 4*ln(abs((r - 2)/(rs - 2))), r]}, (r, rs, rm))\n", "\n", "lamb = var('lamb', latex_name=r'\\lambda')\n", "def geod_ext_out_II(tis, rs, rm):\n", " r\"\"\"\n", " External outgoing radial null geodesic starting from\n", " (ti, r) = (tis, rs) in region II\n", " \"\"\"\n", " return M.curve({EF: [tis - lamb - rs + 4*ln(abs((-lamb - 2)/(rs - 2))), -lamb]}, (lamb, -rs, -rm))\n", "\n", "def geod_ext_in(tis, rs, rm):\n", " r\"\"\"\n", " External ingoing radial null geodesic arriving at\n", " (ti, r) = (tis, rs)\n", " \"\"\"\n", " return M.curve({EF: [tis - r + rs, r]}, (r, rs, rm))" ] }, { "cell_type": "code", "execution_count": 60, "id": "626cb78b", "metadata": {}, "outputs": [], "source": [ "def plot_geod_out(etas, chart=EF, plot_tangent=True, plot_int=True,\n", " color='green', thickness=1.5):\n", " r\"\"\"\n", " Plot of an outgoing radial null geodesic\n", " \"\"\"\n", " # Internal part of the geodesic\n", " gint = geod_int_out(etas)\n", " # External part\n", " tis, rs = EF(gint(chis))\n", " if rs < 2:\n", " rm = 0\n", " gext = geod_ext_out_II(tis, rs, rm)\n", " pv = -0.5*rs\n", " else:\n", " rm = 20 \n", " gext = geod_ext_out_I(tis, rs, rm)\n", " pv = 1.4*rs\n", " ambc = (chart[1], chart[0])\n", " graph = gext.plot(chart, ambient_coords=ambc, color=color, \n", " thickness=thickness, label_axes=False)\n", " if plot_int:\n", " graph += gint.plot(chart.restrict(I), ambient_coords=ambc, color=color, \n", " thickness=thickness, label_axes=False) \n", " if plot_tangent:\n", " try:\n", " vtan = gext.tangent_vector_field().at(gext.domain()(n(pv)))\n", " graph += vtan.plot(chart, ambient_coords=ambc, color=color, \n", " scale=0.01, arrowsize=4)\n", " except ValueError:\n", " pass\n", " return graph" ] }, { "cell_type": "code", "execution_count": 61, "id": "70e9751f", "metadata": {}, "outputs": [], "source": [ "for etas in eta_sel:\n", " graph += plot_geod_out(etas)" ] }, { "cell_type": "code", "execution_count": 62, "id": "3dcb25c7", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 52 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph.axes_labels([r'$r/m$', r'$\\tilde{t}/m$'])\n", "graph.set_axes_range(xmin=0, xmax=10, ymin=0, ymax=timax)\n", "graph.show(figsize=10)" ] }, { "cell_type": "code", "execution_count": 63, "id": "2cab3466", "metadata": {}, "outputs": [], "source": [ "def plot_geod_in(etas, chart=EF, color='green', thickness=1):\n", " r\"\"\"\n", " Plot of an ingoing radial null geodesic\n", " \"\"\"\n", " # Internal part of the geodesic\n", " gint = geod_int_in(etas)\n", " # External part\n", " tis, rs = EF(gint(chis))\n", " rm = 20\n", " gext = geod_ext_in(tis, rs, rm)\n", " ambc = (chart[1], chart[0])\n", " return gint.plot(chart.restrict(I), ambient_coords=ambc, \n", " color=color, thickness=thickness, style='--', \n", " label_axes=False) \\\n", " + gext.plot(chart, ambient_coords=ambc, color=color, \n", " thickness=thickness, style='--', \n", " label_axes=False)" ] }, { "cell_type": "code", "execution_count": 64, "id": "6cf3772e", "metadata": {}, "outputs": [ { "data": { "image/png": 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