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Christoffel Symbol blues

  1. Dec 15, 2011 #1
    Is there any book out there or website or something that has a list of christoffel symbols, something analogous to a table of integrals
    The amount of times I've had to calculate christoffel symbols by hand is unreal and let me tell you, chugging through tensors on a moving bus is hard enough without all that extra work..

    can anyone help?
  2. jcsd
  3. Dec 15, 2011 #2


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    Some math program like mapple?
  4. Jan 4, 2012 #3
    I know what you mean, calculating the Christoffel symbols by hand can be an absolute nightmare. But given all the different conventions and notations, a list would be confusing to the point being useless for most people.

    However, if you are trying to do it for it for a commonly used metrics like the Schwarzschild (which, I would like to add at this point, is pronounced like "shwarz-shild" and not "swarz-child") or FLRW metric, you might be able to find a book that lists all the non zero ones. I remember a cosmology book(though not which one) that did just that for the FLRW metric.

    Alternatively, if you know about differential forms it is considerably quicker to calculate the connection 2-forms.
  5. Jan 4, 2012 #4
  6. Jan 5, 2012 #5
    oh wow, I completely forgot that I posted this

    I know about differential forms but not in connection with anything that'd help me find anything out..
    Could you provide more information or the name of a book that'd help me?

    I managed to get something to do the job in Mathematica for any arbitrary co-ordinates

    If anyone is interested in the .nb I made that does this I'll upload it somewhere for you to use as you please
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