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christoffel_PT.nb
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christoffel_PT.nb
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(* Content-type: application/vnd.wolfram.mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
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Cell["Christoffel Symbols and Geodesic Equation", "Subtitle",ExpressionUUID->"fe26bcef-9428-4f5b-a8a8-48c1dd74cd16"],
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"This is a ",
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" program to compute the Christoffel and the geodesic equations, starting \
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$CellContext`\[CapitalPhi][$CellContext`t, $CellContext`x, $CellContext`y, \
$CellContext`z] Derivative[1][$CellContext`a][$CellContext`t] -
2 $CellContext`\[CapitalPsi][$CellContext`t, $CellContext`x, \
$CellContext`y, $CellContext`z]
Derivative[
1][$CellContext`a][$CellContext`t] - $CellContext`a[$CellContext`t]
Derivative[
1, 0, 0,
0][$CellContext`\[CapitalPhi]][$CellContext`t, $CellContext`x, \
$CellContext`y, $CellContext`z])}, 0, 2, 1],
Editable->False]},
{"\<\"\[CapitalGamma][1, 3, 1]\"\>",
InterpretationBox[
RowBox[{
RowBox[{
RowBox[{
SuperscriptBox["\[CapitalPsi]",
TagBox[
RowBox[{"(",
RowBox[{"0", ",", "0", ",", "1", ",", "0"}], ")"}],
Derivative],
MultilineFunction->None], "[",
RowBox[{"t", ",", "x", ",", "y", ",", "z"}], "]"}], " ",
"\[Epsilon]"}], "+",
InterpretationBox[
SuperscriptBox[
RowBox[{"O", "[", "\[Epsilon]", "]"}], "2"],