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Einstein-Cartan Field Equations Derivation

  1. Jul 8, 2015 #1
    I'm looking for a derivation of the Einstein-Cartan Equations from varying the Einstein-Hilbert Action. I've looked around the internet but can't seem to find one, so if anyone knows of a pdf or book reference that goes through the derivation, that would help a lot. The wikipedia page for Einstein-Cartan Theory mentions the equations being derived by varying the Einstein-Hilbert Action with respect to the Torsion Tensor, but does not go into any detail.
  2. jcsd
  3. Jul 8, 2015 #2


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    Well, right from the references for that article, the following gives geometric preliminaries and the derivation you seek:

  4. Jul 9, 2015 #3
    Thank you! Lesson learned, always check the references :) .
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