{ "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://luth.obspm.fr/~luthier/gourgoulhon/bh16/).\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 9.5.beta9, Release Date: 2021-12-23'" ] }, "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M,({\\tilde{t}}, r)\\right)\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M,({\\tilde{t}}, r)\\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\tilde{t}} :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left[ 0 , +\\infty \\right)\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\tilde{t}} :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left[ 0 , +\\infty \\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(I,({\\eta}, {\\chi})\\right)\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(I,({\\eta}, {\\chi})\\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\eta} :\\ \\left[ 0 , \\pi \\right] ;\\quad {\\chi} :\\ \\left[ 0 , \\frac{1}{4} \\, \\pi \\right]\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\eta} :\\ \\left[ 0 , \\pi \\right] ;\\quad {\\chi} :\\ \\left[ 0 , \\frac{1}{4} \\, \\pi \\right]$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\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": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\left(\\left(0, \\mathrm{True}\\right), \\left(\\pi, \\mathrm{True}\\right)\\right), \\left(\\left(0, \\mathrm{True}\\right), \\left(\\frac{1}{4} \\, \\pi, \\mathrm{True}\\right)\\right)\\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{1}{4} \\, \\pi\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{1}{4} \\, \\pi$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}4\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}4$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\eta} \\ {\\mapsto}\\ \\frac{1}{2} \\, \\cos\\left({\\eta}\\right) + \\frac{1}{2}\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\eta} \\ {\\mapsto}\\ \\frac{1}{2} \\, \\cos\\left({\\eta}\\right) + \\frac{1}{2}$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\eta} \\ {\\mapsto}\\ \\frac{1}{2} \\, {\\eta} + \\frac{1}{2} \\, \\sin\\left({\\eta}\\right)\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\eta} \\ {\\mapsto}\\ \\frac{1}{2} \\, {\\eta} + \\frac{1}{2} \\, \\sin\\left({\\eta}\\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\eta} \\ {\\mapsto}\\ \\frac{1}{{\\left(\\cos\\left({\\eta}\\right) + 1\\right)}^{3}}\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\eta} \\ {\\mapsto}\\ \\frac{1}{{\\left(\\cos\\left({\\eta}\\right) + 1\\right)}^{3}}$$" ], "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 (et + sin(et))/sin(chis)^3 - tau\n", " return find_root(ff, 0, 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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(2 \\, \\sqrt{2} \\pi, 8.88576587631673\\right)\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(2 \\, \\sqrt{2} \\pi, 8.88576587631673\\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\mathrm{True}\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\mathrm{True}$$" ], "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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\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/2), \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(ymax=0.25)\n", "graph.save(\"lem_OS_rho_hb.pdf\", ymax=0.25)" ] }, { "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[0.000000000000000, 1.11072073453959, 2.22144146907918, 3.33216220361878, 4.44288293815837, 5.55360367269796, 6.66432440723755, 7.77504514177714, 8.88576587631673\\right]\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[0.000000000000000, 1.11072073453959, 2.22144146907918, 3.33216220361878, 4.44288293815837, 5.55360367269796, 6.66432440723755, 7.77504514177714, 8.88576587631673\\right]$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[0.0, 0.1969852777521357, 0.39790775618592655, 0.6073795752895496, 0.8317111935799412, 1.0810453707259005, 1.3752523669869274, 1.7683424316081915, 3.141592653589793\\right]\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[0.0, 0.1969852777521357, 0.39790775618592655, 0.6073795752895496, 0.8317111935799412, 1.0810453707259005, 1.3752523669869274, 1.7683424316081915, 3.141592653589793\\right]$$" ], "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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h7r8xs8VAp7tflNn/asLbtc8Ruo90E64Pzh/BaksdSn4O0NY25AGAFIQAmAUk39nJnrvfCVwCTCL3g7o2YCnQCewmhOFcd1817DWVupUMALBy+fIhDwCkIATu/ghQ8gMCd78k7/4tqJ9SKpVtAfbtY84ppwzLcWO5JpAmV64rxMrlyxn61/8BTd8SSOsrG4CVK5lz2GHDeny1BNJQFQMwDNcA+RQCaZhmCAAoBNIgzRIAUAikAZopAKAQyAgr942wRgQA9O6QjKA+4OIbbijoCzR69OjwjbAGBADUEuTQgLzD58DQiE0WAFAIcrj77e5+AnByo+vSSvr6+kILkLe+GQIAOh0qb9MmmDhx4P6ECTBlCuzZAxs2FO4/Y8bAzxs35m479lg45JDw/dfNm3O3dSS+yJZfDmD6dBg1Cl54AXbmDZa9Y0e47e2F9etzt40ZA9OmhZ+fegrcix/n5ZcHHidr4kTo7IRdu8LzUKp+zzwD+/fnrps6NfxOW7bQt2VL0VOg9vZ27l+6NHwQlq23GXR1DRxn9+7cY/ZmvjK+bRts2ZJ7zHHj4LjjQl2efpqauLuWvAUYC/jm8G8zsMyf7+7uvmlT7vrs4u7e01N82113he0rVhRumzOndDlw3749lJ07t3DbNdeE2yVLCrd1dfkBbW3FH7unx33BgsL1CxeGcmvXli7n7t7ZWbht7Vp3d9//+c/7vDBMf87S3t7ua772tcJybW0D9e3qKty+ZEnYtmxZ4ba5c8O27dsPrNs5cMyx5f7eagnKue02OPXUgfsTJoTbyZOhp6d82bvvHngVhtASAFxwAeR3BOvoCK+4xcoBjB8fbm+9Fb7whdxtO3aE9e96V2GdxowZ+PmJJwpbgu7u8PN118EVV+SWzbaAM2fmPm6yHMDq1UVbgv7+fi7+5S8LvxE2alR4F+i002DWrNyNyYEU7rkntyXo7g6/I8D8+TB7dm7ZcePC7fjx8NBDcNZZVK3Rr7rNuJBtCVat8pplX9Gzr5QRluvr6/N58+YVtgDga1asqO14g6lrpjWotiXQhbEMqZLDorS1sRKGrTt0PRQCGTJlxwUa5u7Q9dA1gQyJigNjDXN36HqoJZC6DdfIcCNFIZC6pD0AoBBIHUZyWJThpBDIoDRbd+h66MJYalaqN2gaAwBqCXKoF2llpXqDpjUAoBDkcPUiLatUb9A0BwAUAqnSgWuAFmoBshQCqaiVLoKLUQikrJEeHLcRFAIpqRGD4zaCQiBFlW0BaM7eoIOlEEiBRg6O2wj6sExyNHpw3EZQSyAHtPq7QKUoBAJUOVN8i1IIpCW6Q9dDIYhc7AEAXRhHrR/CRNkt2BWiFmoJItXf389FtFZv0MFSCBJi6Urd398fWoC89TEGABSCHDF0pT5wDaAW4ACFICK6CC5OIYhE2ZHhIg4AKARRKDkqBK3VG3SwFIIWF1Nv0MFSCFpYbL1BB0sflrWoGHuDDpZaghYUa2/QwVIIWowCUDuFoIUoAIOjELQIBWDwdGHcApp1pvi0UEuQcs08U3xaKAQJaetFWm5sUAWgegpBQpp6kbby2KAjTdcE5WzaNDCpNYTJvKdMgT17YMOGwv1nzBj4eePG3G3HHguHHAKvvw6bN+du6+goXQ5g+nQYNQpeeAF27hxoAfID0NbGymXLwgdh69eHybyzE4M/9VThZN5ZL78cJgVPmjgROjvDJOObNpWu3zPPFJ3Mm44O2LIFtm3LLbd1a7jdvbvwscygq2tg/+Rk3gC9veF227bw2EnjxsFxx4W6PP00NSk3yXGsC9nJvMO/zcAyf36YLHrTptz12SU58XT+ctddYfuKFYXb5swpXQ7C5NTu7nPn+n7weXmTZAPeftBBvia/XFfXwATXbW3FH7unx33BgsL1CxeGcmvXli7n7t7ZWbht7dqwbeHCwm0f+lDY9uyzhdva2gbq29VVuH3JkrBt2bLCbXPnhm2ZibxrmcxbLUE5t90Gp546cH/ChHA7eTL09JQve/fdA6/CEFoCgAsugPxOax0d4RW3WDmA8eMB6F+6lIv37y9sAYCVN9/MnPe9L7fcmDEDPz/xRGFL0N0dfr7uOrjiityy2RZw5szc3zVZDmD16uItAcBnPgMf/WhuuU9+Mtx/61sLn0OzgZ/vuSe3Jejuhne9K9yfPx9mz84tO25cuB0/Hh56CM46i6o1+lW3GReyLcGqVV6z7Ct69pVyiMr19fX5vHnzCluAtrbQAgzx8Zqm3GDKZlqDalsCXRinQFpnik8LnQ41uTTPFJ8WagmamL4TPDIUgialAIwchaAJtcpM8WnR9CEws9PN7Ptm9qqZuZl9uIoyZ5hZj5ntMbNfm9llI1DVIaHeoCOv6UMAHAz8G/CZanY2synAKuAxoAu4GfiSmZ0/bDUcIgd6gyoAI6rp3x1y99XAagBLfphS2mXAb9z96sz9jWY2C7gWuK9YATNrJ3zmlNVRbL/h1IozxadFGlqCWp0CPJi3bg0wy8xGlSizCNiZWF4ZvuoVatWZ4tOiFUNwBLAtb902QqtX6k31xcC4xDJ52GqXR71BG6/pT4cGyfPuW4n1YaX7XmDvgZ2rO+2qmy6Cm0MrtgSvEVqDpMMJ1507CndvjBhmik+LVgzBOuDsvHVzgCfdfX+R/UdcLDPFp0XTh8DM3mxmJ5nZSZlVUzL3j85sX2xm304UuQM4xsyWm9k0M7sUWAAsHdmaF1cqAKPb2zU2aIM0fQiAWcBTmQVgeebnGzP3JwFHZ3d29xeBc4DZwC+A64Cr3L3o26MjqWQARo/m/mXL1Bu0QZr+wtjdH2HgwrbY9kuKrPsRMKNw78YpG4D771dv0AZKQ0uQeuXeBdKoEI2nEAwzvQ3a/BSCYaQApINCMEz6+/sVgJRo+gvjNNJM8emilmCIaab49FEIhpBmik8nhSChngF5NVN8eikECT7IAXn1pfh0UwjqVPJL8eoNmhoKQR3UG7Q1KASDpJniW4dCMAiaKb616MOyGmmm+NajlqAG6gvUmhSCKikArUunQ+Vk5iyreo6wEZqzLEd2rrHe3lCHJM1ZVp1yM3jEupCYs6zkHGFQOEdYclaVYZqzrGDbNdf4gfm8NGfZoOYss8wfXRLMbCyw88Vbb+Xv16wpPlH20qWFb4POmBFejWfOLD5nWbmWYNeu4uWgckswZw6sXQtjx+Zuq9QSdHeHecMOPbS2liBbbsaM2lqC7m544AE499zaW4Lu7vA7zp5duSV49FE46yx6CSOpAePcvZdSGv2q24wLmZbgw7NnF7QAo0eP9jVr1nhJaZkLLC3lBlNWc5YNne898kjO/QNfitdFcEtRCBLK9SLVl+Jbl0KQ4CV6kept0NamEFSgALQ+haCMUQcdpABEQCEo45s33KAAREAhKOOMmTMbXQUZAQqBRE8hkOgpBBI9hUCipxBI9BQCiZ5CINFTCCR6CoFETyFIqGdAXkkvhSChVFdqaW0KgURPIZDoKQQSPYVAoqcQSPQUAomeQiDRUwgkegqBRE8hkOhpfoJyMvMTHDBhAkyZAnv2wIYNhftrfoJA8xOkfyExP0HOGPjz54dRjzdtyl2v+QlyF81PkF5mdiVwJeE08fjNt93G5FNPHdihmpZA8xNofoJWWMi2BKtWec3SMu5/WsoNpqzmJxCpjUIg0VMIJHoKgURPIZDoKQQSPYVAoqcQSPQUAoleKkJgZleY2YtmtsfMeszstDL7zjYzL7K8YyTrLOnR9CEwswuBLwI3AV3AY8BqMzu6QtHjgUmJZVP53SVWTR8C4HPAv7j7N9x9o7tfDWwGLq9Qbru7v5ZY+oe9ppJKTR0CM2sDZgIP5m16EHhPheJPmdlWM3vYzM6scJx2MxubXYCOcvtLa2nqEACHAW8CtuWt3wYcUaLMVuBTwPnAecDzwMNmdnqZ4ywCdiaWV+qos6RMWr5Zlv+lByuyLuzo/jzhHz9rnZkdBVwLPFri8RcDyxP3O1AQotHsLcFvgX4KX/UPp7B1KOcJYGqpje6+1917swuwq+aaSmo1dQjcfR/QA5ydt+ls4Cc1PFQX4TRJpEAaToeWA3eZ2ZPAOsL5/tHAHQBmthjodPeLMvevBl4CngPagG7C9cH5I11xSYemD4G7f8fMDgWuJ7zf/yxwjru/nNllEiEUWW3AUqAT2E0Iw7nuvmrkai1p0vQhAHD3rwBfKbHtkrz7twC3jEC1pEU09TWByEhQCCR6CoFETyGQ6CkEEj2FQKKXirdIG0ajUmtU6tgWwmC8G4D/h0alDuU0KnWcMt8p2KlRqeMYlVqnQ+VMnZp7ipM1enTx9UnTphXf5y1vCUu+7KlMqXIQ/silyo0dW75O2X+uYo45JizFdHSUf9zp00tv6+wMS9KkSeF2zJjyj5v/QgADIZ84Mfc0NWnUKDjxxNKPW4QujCV6CoFETyGQ6CkEEj2FQKKnEEj0FAKJnkIg0VMIJHoKgURPIZDoKQQJZnalmW0AftbousjIUQgS3P12dz8BOLnRdZGRoxBI9BQCiZ5CINFTCCR6CoFETyGQ6CkEEj2FQKKnEEj0FAKJnkIg0VMIJHoaga4cDcirAXljW9CAvAOLBuSNmwbkRQPySoYG5NWAvCIxUAgkegqBRE8hkOgpBBI9hUCipxBI9BQCiZ5CINFTCCR6CoFETyFI0IC8cVIIElwD8kZJIZDoKQQSPYVAoqcQSPQUAomeQiDRUwgkegqBRE8hkOilIgRmdoWZvWhme8ysx8xOq7D/GZn99pjZr83sspGqq6RP0487ZGYXAl8ErgAeBz4NrDazE9z9N0X2nwKsAv4Z6Ab+CviKmb3u7vfVdPCdB8HrNVb4dwcBh4XbWsqq3NCV/a2F/fkz8EbF3Zt+BDoz+ymw3t0vT6zbCHzP3RcV2f8fgQ+6+7TEujuA/+Dup1R5zDACHZuZzOS6fwdpjF56GRfGoEvvCHRm1gbMBJbkbXoQeE+JYqdktietARaY2Sh3359fwMzagfbEqg6ArWwdTLWlSexiV1X7NXUICG3am4Bteeu3AUeUKHNEif0zbWrR/+xFwA35K09WZ9JW0QGUbAlScWFMGFk4yYqsq7R/sfVZiwljt2aX7DnQ5Mz95xPbKv1cTdnBlqu17FDUtZqyQ/38FPu5nnKvUkaztwS/BfopfNU/nMJX+6zXSuzfB+wo3B3cfS+wN3vfLJsZdrl7r5n9OXtOWennasoOtlytxxyKulZTFhjS56fYz5njDKauecNXF2rqlsDd9wE9wNl5m84GflKi2Loi+88Bnix2PVCl22v8uVLZwZartexQ1LWaskP9/Az3MXOVm7ygGRbgQmAfcCkwDbgV+ANwTGb7YuDbif2nAH8Elmf2vzRT/vwajjmWKiZ3GMqyOubw1bXS0uynQ7j7d8zsUOB6YBLwLHCOu7+c2WUScHRi/xfN7BxCWK4knA9e5bV9RrAX+G8kTpFGoKyOOTzlKmr6zwlEhltTXxOIjASFQKKnEEj0FAKJXrQhqLN79m8zS8WyZjbJzO41s+fN7M9mtrPKcueZ2Q/N7HUz6810CX+tyrKnmtnjZrbDzPZllv3V/J6Jx1hqZp6pc6Xjzc7sm7/srfK5bTezmzL1zR7zpQrH/FaJYz5Xze+XFGUIEt2zbwK6gMcI3bOPLrF/tnv2Y8DfAeMzy+crlSV0zHsdeChz/2fVHBM4HfghcA5wHXAMoe/TvCrK/hFYAdycuf9tYD/wuwrlsr/vJcDfAs8Ruh5UOl7W8YSu7vsz5WdUWfZ/ARcQPgtYCHwM+GmFcp8lvD2eXY4i9Jv+3xXqWGioP3hIw5J5gr+at24jsLjE/v8IbEyWBe4A1lUqm3fMLcAXqzlmsfoS/imvr/GYX838/F3grirL7QCeBL4A/KKK52c24YOs8YN4bt8P/D5zvKrLFXmcDxO+QHBMrf8P0bUEie7Z+d2tK3bPziu7BphlZqMqlE0e83c1HDO/7A8JvSGz3xKp9pgPmllXZt8fVVHub4BDCJ/E11RX4CnCOK5/ZWZnVln2g4SuMTOAC8zsl5lTsTFVHjNrAfCQD3yIWrXoQkB93bOTZZPds8uVTR5zXw3HzC/7XuBgwqlDNWWz5b5DeJW93d2/Ua6cmU1l4J8/v8t5ueNtBT5FOBUC+BXwsJmdXkXZtxK+/WeE08urgb8m9Pup5vnBzCYBHwC+UWnfYpq+28Qwqqd7tjPwAuJVlC2llnILgLnuvr3Gsp8A/h2wxMx+Vaqcmb0JuBdYSvgSU9XPj7s/DzxvZkdmVv0TMAq4Fni0Ql3/IrFtg7uvM7PPAf+H0E2imt/xEsIp1feq2LdAjCGop3t2ftls9+xyZZPHbKvhmFmzM7fL3P2hxPpqj/knd7/HzCYSzvF/UKJcBzCLcNEO8GPCP6+ZWR9wfxV1TT4/TxC+412prlsJ10rHMvC8bswc+62Vjmmhb/alwF0eeh3XLLrTIa+je3Ze2WT37HJlk8ecUMMxMbOPA/8CbCKcp1ddtsjvaYR3qkqV6wWmAycBzxDeZbmD8O7QScAJ5Y5X5JhdDJxSlavr48CRhOuJbF3fTrjIPbnSMYEzgLcRnqfBafQ7NY1YqK979ucILUAfcFWlspl1JxHOd/9MCNRHgDsrHPPjhLcaryCcb+8jnC//ZRX1vRKYS3gbcV/mH2QX4Z2bsnXNe37uJ7wqVzre1YR3Z6YS3hrtJ5zG/Ocqyr4Z2Jx5XvYRTsVeIgSxmrreBTxR1/9Do/8hGxiEKzJP9l7Cq9fpiW3fAh7J2/8MYH1m/98SToOqLetFlr3lygGPlCjXX+mYmX++ZwnB3Z051v5q6pr3/PyeENxKx/s84WJ4N+Hdq18RTmOqfX7eQXj3ax8DLzDrqyg3DvgT8Ml6/hfUlVqiF901gUg+hUCipxBI9BQCiZ5CINFTCCR6CoFETyGQ6CkEEj2FQKKnEEj0FAKJnkIg0VMIJHoKgURPIYiAmb3DzL5mZj/OLLNK7Gdm9pXEF+ajoC/VRMDMPkv4iuUowre+9gJTPMzVltzvJuAn7v6vI1/LxlFLEAF3v83d/+DuvwO+Thi28K+T+5jZlcALsQUAFIIYfZ3wveGLsivM7CPAeHf/7w2rVQPpdChCZvYD4CzCOD9vBy5w96sbWqkGinHwLQmju/1HwvAoRwB/09jqNJZagghlRqN7FXgZeKe7725wlRpK1wRx6gN2Am8hXB9ETSGITGbI89uBewijv72vsTVqPIUgIpmRp78K3Ah8JbP6Y42rUXPQNUFEzOyLwHfd/dHM/acJg9ke6e6/b2DVGkotQSTM7O+Ax7MByLgTGAPMb0ytmoNagghkJuIb7+5fzFt/CPAiYfDcf08Y/v0D7v7Nka5jI6klaHFmNh14e34AANz9DcIw8X8EHiAMf/7DEa1gE1BLINFTSyDRUwgkegqBRE8hkOgpBBI9hUCipxBI9BQCiZ5CINFTCCR6/x8ffoBiIbC39QAAAABJRU5ErkJggg==\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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[\\left(I,({\\eta}, {\\chi})\\right), \\left(I,({\\tilde{t}}, r)\\right)\\right]\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[\\left(I,({\\eta}, {\\chi})\\right), \\left(I,({\\tilde{t}}, r)\\right)\\right]$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\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": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} {\\tilde{t}} & = & 4 \\, {\\eta} + 4 \\, \\log\\left(\\cos\\left(\\frac{1}{2} \\, {\\eta}\\right) + \\sin\\left(\\frac{1}{2} \\, {\\eta}\\right)\\right) + 2 \\, \\sin\\left({\\eta}\\right) \\\\ r & = & 2 \\, \\sqrt{2} {\\left(\\cos\\left({\\eta}\\right) + 1\\right)} \\sin\\left({\\chi}\\right) \\end{array}\\right.$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\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": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(4 \\, {\\eta} + 4 \\, \\log\\left(\\cos\\left(\\frac{1}{2} \\, {\\eta}\\right) + \\sin\\left(\\frac{1}{2} \\, {\\eta}\\right)\\right) + 2 \\, \\sin\\left({\\eta}\\right), 2 \\, \\sqrt{2} \\cos\\left({\\eta}\\right) \\sin\\left({\\chi}\\right) + 2 \\, \\sqrt{2} \\sin\\left({\\chi}\\right)\\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\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": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left( {\\eta}, {\\chi} \\right) \\ {\\mapsto} \\ 2 \\, \\sqrt{2} \\cos\\left({\\eta}\\right) \\sin\\left({\\chi}\\right) + 2 \\, \\sqrt{2} \\sin\\left({\\chi}\\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\frac{11}{16} \\, \\pi, \\frac{3}{16} \\, \\pi\\right)\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\frac{11}{16} \\, \\pi, \\frac{3}{16} \\, \\pi\\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\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": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\frac{11}{4} \\, \\pi + 4 \\, \\log\\left(\\cos\\left(\\frac{11}{32} \\, \\pi\\right) + \\sin\\left(\\frac{11}{32} \\, \\pi\\right)\\right) + 2 \\, \\sin\\left(\\frac{5}{16} \\, \\pi\\right), -2 \\, \\sqrt{2} \\cos\\left(\\frac{5}{16} \\, \\pi\\right) \\sin\\left(\\frac{3}{16} \\, \\pi\\right) + 2 \\, \\sqrt{2} \\sin\\left(\\frac{3}{16} \\, \\pi\\right)\\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}0.698372454547306\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}0.698372454547306$$" ], "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": { "scrolled": false }, "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(4 \\, \\pi, 0\\right)\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(4 \\, \\pi, 0\\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}4 \\, \\pi\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}4 \\, \\pi$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\mbox{Point on the 2-dimensional Lorentzian manifold M}\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\mbox{Point on the 2-dimensional Lorentzian manifold M}$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(2 \\, \\pi + 2 \\, \\log\\left(2\\right) + 2, 2\\right)\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(2 \\, \\pi + 2 \\, \\log\\left(2\\right) + 2, 2\\right)$$" ], "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": [ "\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(2 \\, \\pi + 2 \\, \\log\\left(2\\right) + 2, 9.66947966829948\\right)\\]" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(2 \\, \\pi + 2 \\, \\log\\left(2\\right) + 2, 9.66947966829948\\right)$$" ], "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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\n", "text/plain": [ "Graphics object consisting of 75 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for etas in eta_sel:\n", " graph += plot_geod_in(etas)\n", "\n", "for ti0 in [14, 18, 22, 26]:\n", " graph += geod_ext_in(ti0, 0, 20).plot(EF, ambient_coords=(r, ti), \n", " color='green', thickness=1, \n", " style='--', label_axes=False)\n", "graph_zoom = copy(graph)\n", "graph += text(r'$\\mathscr{H}$', (2.5, 16.4), fontsize=20, color='black')\n", "graph.axes_labels([r'$r/m$', r'$\\tilde{t}/m$'])\n", "graph.set_axes_range(xmin=0, xmax=10, ymin=-0.03, ymax=timax)\n", "graph.show(frame=True, axes=False, axes_pad=0, figsize=10)\n", "graph.save('lem_OS_diag_EF.pdf', frame=True, axes=False, \n", " axes_pad=0, figsize=10)" ] }, { "cell_type": "code", "execution_count": 65, "id": "f34f29b5", "metadata": {}, "outputs": [], "source": [ "graph_zoom += plot_geod_out(3*pi/4) + plot_geod_in(5*pi/8)\n", "graph_zoom += tsp.plot(chart=EFI, ambient_coords=(r, ti), color='brown',\n", " label=' ', size=50) \\\n", " + text(r\"$\\mathscr{S}$\", (0.8, 11.6), color='brown', fontsize=18)\n", "graph_zoom += line([(0, ti_end + i*(15 - ti_end)/20) for i in range(21)], \n", " thickness=3, color='darkorange', marker='D', markersize=10)" ] }, { "cell_type": "code", "execution_count": 66, "id": "a0839a84", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 83 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_zoom.axes_labels([r'$r/m$', r'$\\tilde{t}/m$'])\n", "graph_zoom.show(frame=True, figsize=8, axes_pad=0,\n", " xmin=0, xmax=3, ymin=9, ymax=13)\n", "graph_zoom.save('lem_OS_diag_EF_zoom.pdf',frame=True, \n", " figsize=8, axes_pad=0, xmin=0, xmax=3, \n", " ymin=9, ymax=13)" ] }, { "cell_type": "markdown", "id": "b80ab1a0", "metadata": {}, "source": [ "## Plot for the time delay effect" ] }, { "cell_type": "code", "execution_count": 67, "id": "9f10cc87", "metadata": {}, "outputs": [ { "data": { "image/png": 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