Einstein action with tetrads

  • #1

Main Question or Discussion Point

I would like to write the HIlbert-Einstein action using tetrad formalism.
I have seen in a paper that the lagrangian is the contraction between a levi civita tensor, against two veilbeins and a two form curvature.
The problem is that i can' t prove that this is the same as the scalar curvature moltiplied by the determinant of the metric.
Could you help me? I am sure of the result, but i can' prove it
 

Answers and Replies

  • #2
WannabeNewton
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See section 3.2: "Covariant Loop Quantum Gravity", by Rovelli and Vidotto, published by Cambridge University Press.
 
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  • #3
See section 3.2: "Covariant Loop Quantum Gravity", by Rovelli and Vidotto, published by Cambridge University Press.
Thanks you really much :)
I had a launch with Carlo Rovelli and Francesca Vidotto, they were really nice: it s a surprise to see the solution in their book
 
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