{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Standard Carter-Penrose diagram of Schwarzschild spacetime\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 involved computations make use of tools developed through the [SageManifolds project](https://sagemanifolds.obspm.fr).\n",
"\n",
"*NB:* a version of SageMath at least equal to 7.5 is required to run this notebook: "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'SageMath version 9.3.beta9, Release Date: 2021-03-14'"
]
},
"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": {},
"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": {},
"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": {},
"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": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/latex": [
"\\begin{math}\n",
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm SD},(t, r, {\\theta}, {\\varphi})\\right)\n",
"\\end{math}"
],
"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):\\varphi')\n",
"m = var('m', domain='real')\n",
"assume(m>=0)\n",
"X_SD.add_restrictions(r!=2*m)\n",
"X_SD"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/latex": [
"\\begin{math}\n",
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm I},(t, r, {\\theta}, {\\varphi})\\right)\n",
"\\end{math}"
],
"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)\n",
"X_SD_I "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/latex": [
"\\begin{math}\n",
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm II},(t, r, {\\theta}, {\\varphi})\\right)\n",
"\\end{math}"
],
"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)\n",
"X_SD_II"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/latex": [
"\\begin{math}\n",
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm SD},(t, r, {\\theta}, {\\varphi})\\right)\n",
"\\end{math}"
],
"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": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/latex": [
"\\begin{math}\n",
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[\\left(M_{\\rm SD},(t, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm I},(t, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm II},(t, r, {\\theta}, {\\varphi})\\right)\\right]\n",
"\\end{math}"
],
"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": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/latex": [
"\\begin{math}\n",
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M,(T, X, {\\theta}, {\\varphi})\\right)\n",
"\\end{math}"
],
"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):\\varphi')\n",
"X_KS.add_restrictions(T^2 < 1 + X^2)\n",
"X_KS"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/latex": [
"\\begin{math}\n",
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm I},(T, X, {\\theta}, {\\varphi})\\right)\n",
"\\end{math}"
],
"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])\n",
"X_KS_I "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/latex": [
"\\begin{math}\n",
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm II},(T, X, {\\theta}, {\\varphi})\\right)\n",
"\\end{math}"
],
"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)])\n",
"X_KS_II"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/latex": [
"\\begin{math}\n",
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & \\sqrt{\\frac{r}{2 \\, m} - 1} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right) \\\\ X & = & \\sqrt{\\frac{r}{2 \\, m} - 1} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.\n",
"\\end{math}"
],
"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": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/latex": [
"\\begin{math}\n",
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & \\sqrt{-\\frac{r}{2 \\, m} + 1} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ X & = & \\sqrt{-\\frac{r}{2 \\, m} + 1} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.\n",
"\\end{math}"
],
"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": {},
"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": {},
"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": {},
"outputs": [
{
"data": {
"image/png": 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\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, figsize=8)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Adding the curvature singularity $r=0$ to the plot:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"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": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"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, figsize=8)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Extension to $M_{\\rm III}$ and $M_{\\rm IV}$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The second Schwarzschild-Droste domain:"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"M_SD2 = M.open_subset('M_SD2', latex_name=r\"{M'}_{\\rm SD}\", coord_def={X_KS: T<-X})\n",
"X_SD2. = M_SD2.chart(r't r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\varphi')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Definition of regions $M_{\\rm III}$ and $M_{\\rm IV}$:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"M_III = M_SD2.open_subset('M_III', latex_name=r'M_{\\rm III}', \n",
" coord_def={X_KS.restrict(M_SD2): [X<0, X