1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Covariant derivate problem (christoffel symbols)

  1. Jul 9, 2014 #1
    1. The problem statement, all variables and given/known data

    I need to calculate [tex] \square A_\mu + R_{\mu \nu} A^\nu [/tex] if [tex] \square = \nabla_\alpha \nabla^\alpha [/tex], and is the covariant derivate

    SEE THIS PDF arXiv:0807.2528v1 i wanna get the equation (5) from (3)



    2. Relevant equations

    [tex] A^{i}_{{;}{\alpha}} = \frac{{\partial}{A^{i}}}{{\partial}{x^{\alpha}}} + \Gamma^{i}_{{j}{\alpha}} A^{j} [/tex]

    Lool arXiv:hep-th/0504052v2 for the conections and christoffel symbols o ricci tensor components

    3. The attempt at a solution

    for example The 00 component for Ruv is

    [tex] R_{\mu \nu} = -3(\dot{H}+H^2) [/tex]

    see the links for more compoents
     
  2. jcsd
  3. Jul 10, 2014 #2
    Do you see why only one equation remains?
    How ##\square ## is expressed with low index nabla's only?
    Do you know the expression for ##A_{{\alpha}{;}{\beta}}## ?

    (I use latin indices for space components and greek indices for space-time components)

    note: if you past an url it becomes clickable, for inline latex wrap it with ##.

    http://arxiv.org/pdf/0807.2528v1

    eq (8)
    http://arxiv.org/pdf/hep-th/0504052v2
     
    Last edited: Jul 10, 2014
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Covariant derivate problem (christoffel symbols)
  1. Christoffel Symbols (Replies: 9)

  2. Christoffel Symbol (Replies: 18)

  3. Christoffel Symbols (Replies: 0)

Loading...