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Tensor Derivatives, General Relativity

  1. Feb 7, 2009 #1
    1. The problem statement, all variables and given/known data
    Given U[tex]\alpha[/tex] = (1+t2, t2, t√2, 0), calculate
    [itex]\partial_{\beta}D^{\alpha}[/itex]

    2. Relevant equations
    [itex]
    \partial_{\beta}D^{\alpha}[/itex] = [tex]
    \frac{\partial D^{\alpha}}{\partial x^{\beta}}[/tex]


    3. The attempt at a solution
    I don't really know where to start, the indices drive me insane. All I need is the method, not the answer.
     
  2. jcsd
  3. Feb 7, 2009 #2

    tiny-tim

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    Science Advisor
    Homework Helper

    Hi Reedeegi! :smile:

    (have a a curly d: ∂ and an alpha: α and a beta: β :wink:)

    I assume you mean that at the point (t,x,y,z), the vector U is (1+t2, t2, t√2, 0) …

    then for example ∂tUy = ∂Uy/∂t = ∂(t√2)/∂t = √2 … :wink:
     
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