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## 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

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