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

Vacuum Solutions to Einstein's Equations

  1. Sep 16, 2012 #1
    In my general relativity course the point was mentioned that in dimensions less than 4 the vacuum field equations cannot be constructed. I was wondering if someone knew why this is so?
     
  2. jcsd
  3. Sep 16, 2012 #2
    Because the Weyl curvature tensor is identically zero for <4 dimensions.
     
  4. Sep 16, 2012 #3

    bcrowell

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    It's not that they can't be constructed, it's that their vacuum solutions become trivial. In 2+1 dimensions, you can't have vacuum curvature.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Vacuum Solutions to Einstein's Equations
Loading...