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Palatini Formalism generalizes GR to include degenerate metric?

  1. Apr 3, 2006 #1
    :confused:
    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
    Okay.
    For example,
    http://arxiv.org/abs/gr-qc/9504036
    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

    robphy

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  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?
     
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