{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Carter-Penrose diagram of Schwarzschild spacetime\n",
"\n",
"This worksheet demonstrates a few capabilities of SageMath in computations regarding\n",
"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",
"The corresponding tools have been developed within the [SageManifolds](http://sagemanifolds.obspm.fr) project (version 1.2, as included in SageMath 8.2). \n",
"\n",
"Click [here](https://raw.githubusercontent.com/sagemanifolds/SageManifolds/master/Worksheets/v1.2/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": {},
"outputs": [
{
"data": {
"text/plain": [
"'SageMath version 8.2, Release Date: 2018-05-05'"
]
},
"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/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": {},
"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": {},
"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": {},
"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": {},
"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": {},
"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": {},
"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": {},
"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": {},
"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": {},
"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": {},
"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": {
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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)"
]
},
{
"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)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Extension to $M_{\\rm III}$ and $M_{\\rm IV}$"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"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