Einstein-Cartan Field Equations Derivation

[Physicist97]

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.

 

[PAllen]

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

http://arxiv.org/abs/0911.0334

 

[Physicist97]

Thank you! Lesson learned, always check the references :) .