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- x = {r, \[CurlyTheta], \[CurlyPhi], t};
- d = Length[x];
- g = {{(1 - R/r)^-1, 0, 0, 0}, {0, r^2, 0, 0}, {0, 0,
- r^2 Sin[\[CurlyTheta]]^2, 0}, {0, 0, 0, -(1 - R/r)}};
- Table[
- 1/2 \!\(
- \*SubsuperscriptBox[\(\[Sum]\), \(m = 1\), \(d\)]\(
- SubscriptBox[\(Inverse[g]\), \(\([[\)\(i, m\)\(]]\)\)] \((
- \*SubscriptBox[\(\[PartialD]\), \(x[[l]]\)]
- \*SubscriptBox[\(g\), \(\([[\)\(m, k\)\(]]\)\)] +
- \*SubscriptBox[\(\[PartialD]\), \(x[[k]]\)]
- \*SubscriptBox[\(g\), \(\([[\)\(m, l\)\(]]\)\)] -
- \*SubscriptBox[\(\[PartialD]\), \(x[[m]]\)]
- \*SubscriptBox[\(g\), \(\([[\)\(k, l\)\(]]\)\)])\)\)\)
- , {i, 1, d}, {k, 1, d}, {l, 1, d}]
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