Christoffel Symbol blues

  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. quasar987

    quasar987 4,774
    Science Advisor
    Homework Helper
    Gold Member

    Some math program like mapple?
     
  4. 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. 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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