I'm loking for this relation:
\begin{equation}
\Gamma^c_{ab}=-\Omega_{ab}\,^c+\Omega_b\,^c\,_a-\Omega^c\,_{ab} \end{equation}
where $\Omega$ is:
\begin{equation}
\Omega_{ab}\,^c=e^\mu\,_ae^\nu\,_b\partial_{[\mu}e_{\nu]}\,^c
\end{equation}
But i have an extra term and i don't understand where is...
Hi, some one know the expression of the affine connection Γ in terms of tetrad formalism? I would like also some references if it's possible, i found a hit but i think that is wrong... please help me it's so important!
Hi, this is my first message on thi forum :D
I apologize in advance for my english.
I'm doing my thesis work on the theory of relativity of Einstein-Cartan.
I'm following the article of Hehl of 1976; it's title is "General relativity with spin and torsion: Foundations and prospects".
I can't...