{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Carter-Penrose diagram of Schwarzschild spacetime\n", "\n", "This worksheet demonstrates a few capabilities of [SageManifolds](http://sagemanifolds.obspm.fr)\n", "(version 1.0, as included in SageMath 7.5) in computations regarding the Carter-Penrose diagram of Schwarzschild spacetime. It is used to illustrate the lectures\n", "[Geometry and physics of black holes](http://luth.obspm.fr/~luthier/gourgoulhon/bh16/)\n", " \n", "Click [here](https://raw.githubusercontent.com/sagemanifolds/SageManifolds/master/Worksheets/v1.0/SM_Carter-Penrose_diag.ipynb) to download the worksheet file (ipynb format). To run it, you must start SageMath with the Jupyter notebook, via the command sage -n jupyter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*NB:* a version of SageMath at least equal to 7.5 is required to run this worksheet:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "'SageMath version 7.5, Release Date: 2017-01-11'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "version()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we set up the notebook to display mathematical objects using LaTeX formatting:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%display latex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spacetime\n", "\n", "We declare the spacetime manifold $M$:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4-dimensional differentiable manifold M\n" ] } ], "source": [ "M = Manifold(4, 'M')\n", "print(M)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Schwarzschild-Droste domain\n", "\n", "The domain of Schwarzschild-Droste coordinates is $M_{\\rm SD} = M_{\\rm I} \\cup M_{\\rm II}$:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "M_SD = M.open_subset('M_SD', latex_name=r'M_{\\rm SD}')\n", "M_I = M_SD.open_subset('M_I', latex_name=r'M_{\\rm I}')\n", "M_II = M_SD.open_subset('M_II', latex_name=r'M_{\\rm II}')\n", "M_SD.declare_union(M_I, M_II)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Schwarzschild-Droste coordinates $(t,r,\\theta,\\phi)$:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_SD, (t, r, th, ph))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD. = M_SD.chart(r't r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n", "m = var('m', domain='real') ; assume(m>=0)\n", "X_SD.add_restrictions(r!=2*m)\n", "X_SD" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_I, (t, r, th, ph))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_I = X_SD.restrict(M_I, r>2*m) ; X_SD_I " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_II, (t, r, th, ph))" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_II = X_SD.restrict(M_II, r<2*m) ; X_SD_II" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_SD, (t, r, th, ph))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M.default_chart()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "[Chart (M_SD, (t, r, th, ph)),\n", " Chart (M_I, (t, r, th, ph)),\n", " Chart (M_II, (t, r, th, ph))]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M.atlas()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Kruskal-Szekeres coordinates" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M, (T, X, th, ph))" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS. = M.chart(r'T X th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n", "X_KS.add_restrictions(T^2 < 1 + X^2)\n", "X_KS" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_I, (T, X, th, ph))" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS_I = X_KS.restrict(M_I, [X>0, T-X]) ; X_KS_I " ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_II, (T, X, th, ph))" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS_II = X_KS.restrict(M_II, [T>0, T>abs(X)]) ; X_KS_II" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "T = sqrt(1/2*r/m - 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n", "X = sqrt(1/2*r/m - 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n", "th = th\n", "ph = ph" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_I_to_KS = X_SD_I.transition_map(X_KS_I, [sqrt(r/(2*m)-1)*exp(r/(4*m))*sinh(t/(4*m)), \n", " sqrt(r/(2*m)-1)*exp(r/(4*m))*cosh(t/(4*m)), \n", " th, ph])\n", "SD_I_to_KS.display()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "T = sqrt(-1/2*r/m + 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n", "X = sqrt(-1/2*r/m + 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n", "th = th\n", "ph = ph" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_II_to_KS = X_SD_II.transition_map(X_KS_II, [sqrt(1-r/(2*m))*exp(r/(4*m))*cosh(t/(4*m)), \n", " sqrt(1-r/(2*m))*exp(r/(4*m))*sinh(t/(4*m)), \n", " th, ph])\n", "SD_II_to_KS.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot of Schwarzschild-Droste grid on $M_{\\rm I}$ in terms of KS coordinates" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "graph = X_SD_I.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n", " ranges={t:(-10,10), r:(2.001,5)}, steps={t:1, r:0.5}, \n", " style={t:'--', r:'-'}, color='blue', parameters={m:1})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding the Schwarzschild horizon to the plot:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "hor = line([(0,0), (4,4)], color='black', thickness=2) \\\n", " + text(r'$\\mathscr{H}$', (3, 2.7), fontsize=20, color='black')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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kSycybx6v8/y57Z/57l2RBg1EnJxEvv9eJDIy5uvXrvF5mjeP/VpqpjNGSiml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\nMFIURVEURfmP/wPLTcBsl8hsMQAAAABJRU5ErkJggg==\n", "text/plain": [ "Graphics object consisting of 30 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hor2 = line([(0,0), (4,4)], color='black', thickness=2) \\\n", " + text(r'$\\mathscr{H}$', (2.95, 3.2), fontsize=20, color='black')\n", "region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2.4, 0.4), fontsize=20, color='blue') \n", "graph2 = graph + hor2 + region_labels\n", "show(graph2, xmin=-3, xmax=3, ymin=-3, ymax=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding the curvature singularity $r=0$ to the plot:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "sing = X_SD_II.plot(X_KS, fixed_coords={r:0, th:pi/2, ph:pi}, ambient_coords=(X,T), \n", " color='brown', thickness=4, style='--', parameters={m:1}) \\\n", " + text(r'$r=0$', (2.5, 3), rotation=45, fontsize=16, color='brown')" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SgweO1ezTh5YLFpCtAh+/QHILVPgO9sT/+A0OXb6Fq4MVl6JTsUs+zi/3haKB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\nNLz8srTxr1sntUgPi04nomziROkK8/aGSpUeft1Hza1bkv5bvRq6dJH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mZ8H0AR5ciUll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+WPi8SlZPGSU3X+170Rm86Gs9v9bqdNQFQyZ4JvYG9rIe68fteLXeNe75V3ejampp0F87Z7k5mT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\nXPZR6GqqwqaLTocF2ILqemgYyJ8xF0mkSCuogETaMiw3Oa8cQpGk3cJr/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2aM0mohItKK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"text/plain": [ "Graphics object consisting of 58 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph += X_SD_II.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n", " ranges={t:(-10,10), r:(0.001,1.999)}, steps={t:1, r:0.5}, \n", " style={t:'--', r:'-'}, color='steelblue', parameters={m:1})\n", "region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2.4, 0.4), fontsize=20, color='blue') + \\\n", " text(r'$\\mathscr{M}_{\\rm II}$', (0, 0.5), fontsize=20, color='steelblue') \n", "graph += hor + sing + region_labels\n", "show(graph, xmin=-3, xmax=3, ymin=-3, ymax=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extension to $M_{\\rm III}$ and $M_{\\rm IV}$" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_III, (T, X, th, ph))" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M_III = M.open_subset('M_III', latex_name=r'M_{\\rm III}', coord_def={X_KS: [X<0, X" ], "text/plain": [ "Chart (M_IV, (T, X, th, ph))" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M_IV = M.open_subset('M_IV', latex_name=r'M_{\\rm IV}', coord_def={X_KS: [T<0, T<-abs(X)]})\n", "X_KS_IV = X_KS.restrict(M_IV) ; X_KS_IV" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Schwarzschild-Droste coordinates in $M_{\\rm III}$ and $M_{\\rm IV}$:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_III, (t, r, th, ph))" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_III. = M_III.chart(r't r:(2*m,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n", "X_SD_III" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "T = -sqrt(1/2*r/m - 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n", "X = -sqrt(1/2*r/m - 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n", "th = th\n", "ph = ph" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_III_to_KS = X_SD_III.transition_map(X_KS_III, [-sqrt(r/(2*m)-1)*exp(r/(4*m))*sinh(t/(4*m)), \n", " - sqrt(r/(2*m)-1)*exp(r/(4*m))*cosh(t/(4*m)), \n", " th, ph])\n", "SD_III_to_KS.display()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_IV, (t, r, th, ph))" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_IV. = M_IV.chart(r't r:(0,2*m) th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n", "X_SD_IV" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "T = -sqrt(-1/2*r/m + 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n", "X = -sqrt(-1/2*r/m + 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n", "th = th\n", "ph = ph" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_IV_to_KS = X_SD_IV.transition_map(X_KS_IV, [-sqrt(1-r/(2*m))*exp(r/(4*m))*cosh(t/(4*m)), \n", " -sqrt(1-r/(2*m))*exp(r/(4*m))*sinh(t/(4*m)), \n", " th, ph])\n", "SD_IV_to_KS.display()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Standard compactified coordinates\n", "\n", "The coordinates $(\\hat T, \\hat X, \\theta, \\varphi)$ associated with the conformal compactification of the Schwarzschild spacetime are" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M, (T1, X1, th, ph))" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_C. = M.chart(r'T1:(-pi/2,pi/2):\\hat{T} X1:(-pi,pi):\\hat{X} th:(0,pi):\\theta ph:(0,2*pi):\\varphi')\n", "X_C.add_restrictions([-pi+abs(X1)" ], "text/plain": [ "T1 = arctan(T + X) + arctan(T - X)\n", "X1 = arctan(T + X) - arctan(T - X)\n", "th = th\n", "ph = ph" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KS_to_C = X_KS.transition_map(X_C, [atan(T+X)+atan(T-X),\n", " atan(T+X)-atan(T-X), \n", " th, ph])\n", "print(KS_to_C)\n", "KS_to_C.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transition map between the Schwarzschild-Droste chart and the chart of compactified coordinates\n", "\n", "The transition map is obtained by composition of previously defined ones:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Change of coordinates from Chart (M_I, (t, r, th, ph)) to Chart (M_I, (T1, X1, th, ph))\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "T1 = arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m)) + arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m))\n", "X1 = arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m)) - arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m))\n", "th = th\n", "ph = ph" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_I_to_C = KS_to_C.restrict(M_I) * SD_I_to_KS\n", "print(SD_I_to_C)\n", "SD_I_to_C.display()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Change of coordinates from Chart (M_II, (t, r, th, ph)) to Chart (M_II, (T1, X1, th, ph))\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "T1 = arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m)) - arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m))\n", "X1 = arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m)) + arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m))\n", "th = th\n", "ph = ph" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_II_to_C = KS_to_C.restrict(M_II) * SD_II_to_KS\n", "print(SD_II_to_C)\n", "SD_II_to_C.display()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Change of coordinates from Chart (M_III, (t, r, th, ph)) to Chart (M_III, (T1, X1, th, ph))\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "T1 = -arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m)) - arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m))\n", "X1 = -arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m)) + arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m))\n", "th = th\n", "ph = ph" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_III_to_C = KS_to_C.restrict(M_III) * SD_III_to_KS\n", "print(SD_III_to_C)\n", "SD_III_to_C.display()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Change of coordinates from Chart (M_IV, (t, r, th, ph)) to Chart (M_IV, (T1, X1, th, ph))\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "T1 = -arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m)) + arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m))\n", "X1 = -arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m)) - arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m))\n", "th = th\n", "ph = ph" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_IV_to_C = KS_to_C.restrict(M_IV) * SD_IV_to_KS\n", "print(SD_IV_to_C)\n", "SD_IV_to_C.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Carter-Penrose diagram\n", "\n", "The diagram is obtained by plotting the curves of constant Schwarzschild-Droste coordinates with respect to the compactified chart." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [], "source": [ "r_tab = [2.01*m, 2.1*m, 2.5*m, 4*m, 8*m, 12*m, 20*m, 100*m]\n", "curves_t = dict()\n", "for r0 in r_tab:\n", " curves_t[r0] = M.curve({X_SD_I: [t, r0, pi/2, pi]}, (t,-oo,+oo))\n", " curves_t[r0].coord_expr(X_C.restrict(M_I))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [], "source": [ "graph_t = Graphics()\n", "for r0 in r_tab:\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-150, -10), \n", " parameters={m:1}, plot_points=100, color='blue', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-10, 10), \n", " parameters={m:1}, plot_points=100, color='blue', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(10, 150), \n", " parameters={m:1}, plot_points=100, color='blue', style='--')" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [], "source": [ "t_tab = [-50*m, -20*m, -10*m, -5*m, -2*m, 0, 2*m, 5*m, 10*m, 20*m, 50*m]\n", "curves_r = dict()\n", "for t0 in t_tab:\n", " curves_r[t0] = M.curve({X_SD_I: [t0, r, pi/2, pi]}, (r, 2*m, +oo))\n", " curves_r[t0].coord_expr(X_C.restrict(M_I))" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": true }, "outputs": [], "source": [ "graph_r = Graphics()\n", "for t0 in t_tab:\n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(2.0001, 4), \n", " parameters={m:1}, plot_points=100, color='blue') \n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(4, 1000), \n", " parameters={m:1}, plot_points=100, color='blue')" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true }, "outputs": [], "source": [ "bifhor = line([(-pi/2,-pi/2), (pi/2,pi/2)], color='black', thickness=3) + \\\n", " line([(-pi/2,pi/2), (pi/2,-pi/2)], color='black', thickness=3) + \\\n", " text(r'$\\mathscr{H}$', (1, 1.2), fontsize=20, color='black')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [], "source": [ "sing1 = X_SD_II.plot(X_C, fixed_coords={r:0, th:pi/2, ph:pi}, ambient_coords=(X1,T1),\n", " max_range=200, number_values=30, color='brown', thickness=3, \n", " style='--', parameters={m:1}) + \\\n", " text(r'$r=0$', (0.4, 1.7), fontsize=16, color='brown')\n", "sing2 = X_SD_IV.plot(X_C, fixed_coords={r:0, th:pi/2, ph:pi}, ambient_coords=(X1,T1),\n", " max_range=200, number_values=30, color='brown', thickness=3, \n", " style='--', parameters={m:1}) + \\\n", " text(r\"$r'=0$\", (0.4, -1.7), fontsize=16, color='brown')\n", "sing = sing1 + sing2" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true }, "outputs": [], "source": [ "scri = line([(pi,0), (pi/2,pi/2)], color='green', thickness=3) + \\\n", " text(r\"$\\mathscr{I}^+$\", (2.6, 0.9), fontsize=20, color='green') + \\\n", " line([(pi/2, -pi/2), (pi,0)], color='green', thickness=3) + \\\n", " text(r\"$\\mathscr{I}^-$\", (2.55, -0.9), fontsize=20, color='green') + \\\n", " line([(-pi,0), (-pi/2,pi/2)], color='green', thickness=3) + \\\n", " text(r\"${\\mathscr{I}'}^+$\", (-2.55, 0.9), fontsize=20, color='green') + \\\n", " line([(-pi/2, -pi/2), (-pi,0)], color='green', thickness=3) + \\\n", " text(r\"${\\mathscr{I}'}^-$\", (-2.6, -0.9), fontsize=20, color='green')" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": true }, "outputs": [], "source": [ "region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2, 0.4), fontsize=20, color='blue', \n", " background_color='white') + \\\n", " text(r'$\\mathscr{M}_{\\rm II}$', (0.4, 1), fontsize=20, color='steelblue',\n", " background_color='white') + \\\n", " text(r'$\\mathscr{M}_{\\rm III}$', (-2, 0.4), fontsize=20, color='chocolate',\n", " background_color='white') + \\\n", " text(r'$\\mathscr{M}_{\\rm IV}$', (0.4, -1), fontsize=20, color='gold',\n", " background_color='white')" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wcHfXQqPRYccODYKCjB9/+rTcJX/9dSAsLJ8b60IqVZKgExEhm9o97s03gQUL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\n+2SYFVa7N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"text/plain": [ "Graphics object consisting of 61 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = graph_t + graph_r\n", "show(graph + bifhor + sing + scri, aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [], "source": [ "r_tab = [0.1*m, 0.5*m, m, 1.25*m, 1.5*m, 1.7*m, 1.9*m, 1.98*m]\n", "curves_t = dict()\n", "for r0 in r_tab:\n", " curves_t[r0] = M.curve({X_SD_II: [t, r0, pi/2, pi]}, (t,-oo,+oo))\n", " curves_t[r0].coord_expr(X_C.restrict(M_II))" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": true }, "outputs": [], "source": [ "graph_t = Graphics()\n", "for r0 in r_tab:\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-150, -2), \n", " parameters={m:1}, plot_points=50, color='steelblue', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-2, 2), \n", " parameters={m:1}, plot_points=50, color='steelblue', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(2, 150), \n", " parameters={m:1}, plot_points=50, color='steelblue', style='--')" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [], "source": [ "t_tab = [-20*m, -10*m, -5*m, -2*m, 0, 2*m, 5*m, 10*m, 20*m]\n", "curves_r = dict()\n", "for t0 in t_tab:\n", " curves_r[t0] = M.curve({X_SD_II: [t0, r, pi/2, pi]}, (r, 0, 2*m))\n", " curves_r[t0].coord_expr(X_C.restrict(M_II))" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": true }, "outputs": [], "source": [ "graph_r = Graphics()\n", "for t0 in t_tab:\n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(0.001, 1.9999), \n", " parameters={m:1}, plot_points=100, color='steelblue') " ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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U2RxsOZjPpow81uzJZtGGQ8SFmfj4ztRGDavxNkG5fWQguWYrNruT2NAAxvdJ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\nydCk014l6u0lOzleWM5Dlwx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0/A06Xrl+pKciclFpBc8v2srWg/nceUEfLvJxh7wxqsZL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\nh7OCw/Hjx6lUqRK7du2iZs2a/z3fvHlzateuzbhx49L83OjRo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PO5mReX22+N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\npZRSSllFw4NSSimllFLKKv8D8dsGxBxW8QQAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 98 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph += graph_t + graph_r\n", "show(graph + bifhor + sing + scri + region_labels, aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": true }, "outputs": [], "source": [ "r_tab = [2.01*m, 2.1*m, 2.5*m, 4*m, 8*m, 12*m, 20*m, 100*m]\n", "curves_t = dict()\n", "for r0 in r_tab:\n", " curves_t[r0] = M.curve({X_SD_III: [t, r0, pi/2, pi]}, (t,-oo,+oo))\n", " curves_t[r0].coord_expr(X_C.restrict(M_III))" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true }, "outputs": [], "source": [ "graph_t = Graphics()\n", "for r0 in r_tab:\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-150, -10), \n", " parameters={m:1}, plot_points=100, color='chocolate', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-10, 10), \n", " parameters={m:1}, plot_points=100, color='chocolate', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(10, 150), \n", " parameters={m:1}, plot_points=100, color='chocolate', style='--')" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": true }, "outputs": [], "source": [ "t_tab = [-50*m, -20*m, -10*m, -5*m, -2*m, 0, 2*m, 5*m, 10*m, 20*m, 50*m]\n", "curves_r = dict()\n", "for t0 in t_tab:\n", " curves_r[t0] = M.curve({X_SD_III: [t0, r, pi/2, pi]}, (r, 2*m, +oo))\n", " curves_r[t0].coord_expr(X_C.restrict(M_III))" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": true }, "outputs": [], "source": [ "graph_r = Graphics()\n", "for t0 in t_tab:\n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(2.0001, 4), \n", " parameters={m:1}, plot_points=100, color='chocolate') \n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(4, 1000), \n", " parameters={m:1}, plot_points=100, color='chocolate')" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Pv2fZy3c3GRweeqhxcAAYPBguuQT+/e/Gx0tNNvDNXxZy7huToLP0QAjRFiQ8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pRTjkI6IYcDPspnBe4iyYQ4aj7brWIj41XgghRGqot7g/t7O49VE9EXvtSIHZplWniZiLe4X3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\nCQ9CCCGEEEKIcvk/4Zm/Qs7N9bsAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 144 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph += graph_t + graph_r\n", "show(graph + bifhor + sing + scri + region_labels, aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true }, "outputs": [], "source": [ "r_tab = [0.1*m, 0.5*m, m, 1.25*m, 1.5*m, 1.7*m, 1.9*m, 1.98*m]\n", "curves_t = dict()\n", "for r0 in r_tab:\n", " curves_t[r0] = M.curve({X_SD_IV: [t, r0, pi/2, pi]}, (t,-oo,+oo))\n", " curves_t[r0].coord_expr(X_C.restrict(M_IV))" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "graph_t = Graphics()\n", "for r0 in r_tab:\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-150, -2), \n", " parameters={m:1}, plot_points=50, color='gold', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-2, 2), \n", " parameters={m:1}, plot_points=50, color='gold', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(2, 150), \n", " parameters={m:1}, plot_points=50, color='gold', style='--')" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": true }, "outputs": [], "source": [ "t_tab = [-20*m, -10*m, -5*m, -2*m, 0, 2*m, 5*m, 10*m, 20*m]\n", "curves_r = dict()\n", "for t0 in t_tab:\n", " curves_r[t0] = M.curve({X_SD_IV: [t0, r, pi/2, pi]}, (r, 0, 2*m))\n", " curves_r[t0].coord_expr(X_C.restrict(M_IV))" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": true }, "outputs": [], "source": [ "graph_r = Graphics()\n", "for t0 in t_tab:\n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(0.001, 1.9999), \n", " parameters={m:1}, plot_points=100, color='gold') " ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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WiYzkSJ/nsf1ABYs35aNSqVA0WhRDMCrV4R4drUbNXRf19T6/qffV4o357Cut9oQnYzAq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zsrmgaWta7P/zKw/gv6SAg/RwKuw04HfUi9822wrReEnQzdXm2bPjkKJOA89GTo9goYXFWn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\nzYpgMPfzHZReEwStDwVMn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vZvXo+7jaMx7Hv48bpTyP7JU2jWkDLqSI6ft8h7GwUPs/g/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\nQmCC\n", "text/plain": [ "Graphics object consisting of 177 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph += graph_t + graph_r\n", "graph += bifhor + sing + scri + region_labels\n", "show(graph, aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": true }, "outputs": [], "source": [ "graph.save('max_carter-penrose-std.pdf', aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 7.5", "language": "", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 0 }