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

Torsion in GR

  1. Feb 8, 2008 #1
    I ahve always wondered why only the curvature term [tex]R_{\mu,\nu}[/tex] been considered in GR. From differential Geoetry, how about the torsion tensor?
     
  2. jcsd
  3. Feb 9, 2008 #2
    The simple answer is that in standard formulation of general relativity, we require a unique connection on a manifold which is torsion-free and metric compatible, which lead to the properties of the covariant derivative that we need.
     
  4. Feb 13, 2008 #3
    It always bothered me as well that the torsion term was simply ignored. Many people have examined what happens when you keep the term, which has led to the Einstein-Cartan theory as a way to try and incorporate spin. Although this theory doesn't appear to be fundamental, it does seem to embed itself into supergravity which is in turn one of the limits of M-Theory.


    Here is a link to Hehl's 1976 article from Rev. Mod Phs......
    http://prola.aps.org/abstract/RMP/v48/i3/p393_1


    And here is a much more recent article
    http://arxiv.org/abs/0711.1535
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Torsion in GR
  1. Testability of torsion (Replies: 3)

  2. Torsion in GR (Replies: 1)

Loading...