I was reading something about the Cartan (vierbein) formalism in GR, in wich the connection is allowed to have torsion, and it got me interested in the Einstein-Cartan theory.(adsbygoogle = window.adsbygoogle || []).push({});

Apparently both GR and Cartan theory with torsion should give the same experimental results in vacuum, what I would like to understand better from the differential geometry point of view is why exactly this happens.

Why doesn't torsion make any difference in vacuum?

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# Torsion in GR and Einstein-Cartan theory

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