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List of Christoffel Symbols

  1. Mar 17, 2010 #1
    Does anyone know where I can find a list of Christoffel Symbols for various metrics? Metrics of general forms, as well as famous ones like Schwarzschild and Robertson-Walker? Yes, I can calculate them all if I really need to, but it's pretty tedious.
  2. jcsd
  3. Mar 17, 2010 #2
    Maple + GRTensor package.
  4. Mar 17, 2010 #3


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  5. Mar 17, 2010 #4
    Thanks, that's a very useful resource, though I was looking for a list, analogous to a Table of Integrals.
  6. Mar 17, 2010 #5


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    Any such list would be hopelessly confusing, b/c you might get different forms for the symbols depending on the coordinate system/notation you use, even for identical physical metrics.

    Hence the computer programs, like Maple that do it for you (rather than tediously going through it by hand) for whatever notation and coordinates you might want to use.

    In general I recommend doing it once or twice by hand (usually its a homework problem to compute the Christoffel symbols, Ricci tensor and Riemann tensor for say the Schwarschild metric) and then never doing it again for sanity purposes.
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