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

Palatini Formalism generalizes GR to include degenerate metric?

  1. Apr 3, 2006 #1
    Some papers say that Palatini Formalism still works if the frame variables [tex]e^i_a[/tex]
    is not an isomorphism (from tangent bundle to frame bundle), this generalizes GR to include the cases of degenerate metric.

    But one could not derive the Einstein's Equation if [tex]e^i_a[/tex] is not an isomorphism!!
    Somebody please explain to me how it works?
  2. jcsd
  3. Apr 3, 2006 #2
    Can you please tell me (us) first what are these "some papers"? Then after having been reading them, I shall try to understand and to answer. Thanks
  4. Apr 4, 2006 #3
    For example,
    page 26

    and in Lectures on Non-perturbative Canonical Gravity, Abhay Ashtekar
    he mentioned a generalization to degenerate metric case.
  5. Apr 4, 2006 #4


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

  6. Apr 5, 2006 #5
    I read them and begin to understand.
    But has anyone observed or proposed to observe spacetime of degenerate metric before?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook