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Pleas Help me!

  1. Jan 9, 2007 #1
    Hello my friends

    I have a question about riemannian tensor. how Get Rii in space with d-dimentions? for example in coordinate taht linear element is
    ds^2=(dx^2+dy^2+dz^2)/[1+/(K/4)*(x^2+y^2+z^2)] where K is Gaussian tensor.

    Thanks!:smile:
     
  2. jcsd
  3. Jan 13, 2007 #2

    robphy

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    do you mean "curvature" for K?

    In any case, as it stands, this isn't really a relativity question... it's more of a tensor or differential geometry question...but it really sounds like a mathematics homework problem. What is your starting point? Show some work first.
     
  4. Jan 13, 2007 #3

    Chris Hillman

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    Hi, Physicor,

    I second what Rob said and add (if this is homework, I probably shouldn't) that you appear to have written down what might be the desired answer to a problem asking you to compute curvature of spatial hyperslices (orthogonal to the world lines of the matter) in an FRW model.
     
  5. Jan 14, 2007 #4
    But general Relativity depends this case. because when you talk about relativity, it is important that understanding some problems and subjects such as riemannian geometry & etc, specially for describtion of this answer that riemann proved it. there is a space with above line - element that K is gaussian curvature tensor (http://mathworld.wolfram.com/GaussianCurvature.html)

    I can not understand this question " do you mean "curvature" for K? "

    -------

    thank u Chris Hillman. but my question didn't depend your answer.

    ____________

    Good luck!
     
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