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MatLab 0.62 KB | None | 0 0
  1. x = {r, \[CurlyTheta], \[CurlyPhi], t};
  2. d = Length[x];
  3. g = {{(1 - R/r)^-1, 0, 0, 0}, {0, r^2, 0, 0}, {0, 0,
  4.     r^2 Sin[\[CurlyTheta]]^2, 0}, {0, 0, 0, -(1 - R/r)}};
  5.  
  6. Table[
  7.  1/2 \!\(
  8. \*SubsuperscriptBox[\(\[Sum]\), \(m = 1\), \(d\)]\(
  9. SubscriptBox[\(Inverse[g]\), \(\([[\)\(i, m\)\(]]\)\)] \((
  10. \*SubscriptBox[\(\[PartialD]\), \(x[[l]]\)]
  11. \*SubscriptBox[\(g\), \(\([[\)\(m, k\)\(]]\)\)] +
  12. \*SubscriptBox[\(\[PartialD]\), \(x[[k]]\)]
  13. \*SubscriptBox[\(g\), \(\([[\)\(m, l\)\(]]\)\)] -
  14. \*SubscriptBox[\(\[PartialD]\), \(x[[m]]\)]
  15. \*SubscriptBox[\(g\), \(\([[\)\(k, l\)\(]]\)\)])\)\)\)
  16.  , {i, 1, d}, {k, 1, d}, {l, 1, d}]
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