On the generalized Einstein–Cartan action with fermions

Abstract

Listen

Translate article

From the freedom exhibited by the generalized Einstein action proposed in Dubois-Violette and Lagraa (2010 Lett. Math. Phys. 91 83–91), we show that we can construct the standard effective Einstein–Cartan action coupled to the fermionic matter without the usual current–current interaction and therefore an effective action which does not depend either on the Immirzi parameter or on the torsion. This establishes the equivalence between the Einstein–Cartan theory and the theory of general relativity minimally coupled to the fermionic matter.