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

Vanishing Ricci Tensor in 3 Dimensions

  1. Sep 24, 2012 #1
    In my general relativity course my professor recommended that it would be useful to convince ourselves that in 3 dimensions the vacuum field equations are trivial because the vanishing of the Ricci tensor implies the vanishing of the full Riemann tensor. However, I am unsure of how to show this mathematically; if someone could help me or point me in the right direction I would appreciate it, thanks.
  2. jcsd
  3. Sep 24, 2012 #2


    User Avatar
    Science Advisor

    Look at
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook