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

Equation with Riemann curvature tensor

  1. Sep 26, 2009 #1
    Can anyone prove the following formula:
    R_{abf}^{\phantom{abf}e} \Gamma_{cd}^f = R_{abc}^{\phantom{abc}f} \Gamma_{fd}^e + R_{abd}^{\phantom{abd}f} \Gamma_{cf}^e
    I found it in "General Relativity" by Wald (in slightly different notation).
  2. jcsd
  3. Sep 26, 2009 #2
    If you write it out in terms of the derivatives of metric components, you should be able to manipulate the expression until you get the indices arranged as you want.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook