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Writing the EFE in a different form

  1. Dec 3, 2009 #1

    Matterwave

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    Anyone know where I can, possiblely, find the EFE's written only in terms of the metric tensor and the stress-energy tensor? I know that the Ricci Curvature tensor and the Ricci scalar are derived (eventually) from the metric tensor (after a roundabout way through Christoffel symbols). The expression, I would think would be immensely long, but is there a place that has it?
     
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  3. Dec 3, 2009 #2

    bcrowell

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    You could probably generate it using software like Maxima and ctensor, or cadabra.
     
  4. Dec 3, 2009 #3

    Matterwave

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    I.C. I'm not familiar with such software...do you think any website may have it?

    It's not that important, I'd just like to see the thing so it becomes a little more concrete in my mind.
     
  5. Dec 4, 2009 #4
    I did that for a presentation a couple of years ago, but I can't seem to find the latex file with the complete expression. As I remember, there were around 50 terms on the LHS, with all sorts of permutations of up to 4 factors of g per term, the whole thing looked remarkably messy and lacked any visible patterns.

    You can reconstruct it by hand in less than an hour, starting here

    http://en.wikipedia.org/wiki/Einstein_tensor
     
  6. Dec 4, 2009 #5

    Matterwave

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    Ok, I may do that sometime...I just don't have the time right now hehe, essay for school due tomorrow, and I haven't started yet! D=
     
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