Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Variation of quadratic action

  1. Aug 27, 2010 #1
    Do know anybody explicit form of variation action quadratic in Riemann tensors (for general dimension)?
    Link to internet sources?
    Or computer program for symbolic and tensors algebra, which the variation tell me (preferably open-source)?

  2. jcsd
  3. Aug 27, 2010 #2
    Hint: Write the curvature tensor as

    [tex]R_{\mu\nu}=\partial_\mu \Gamma_{\nu}-\partial_\nu \Gamma_{\mu}-[\Gamma_\mu,\Gamma_\nu][/tex]

    Then apply the variation [tex]\delta[/tex]. Use the Leibniz rule.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook