On the Generalized Einstein-Cartan Action with Fermions

Details On the Generalized Einstein-Cartan Action with Fermions On the Generalized Einstein-Cartan Action with Fermions

2009-08-19

arxiv.org/abs/0908.2755v3

Class.Quant.Grav.27:095012,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, Added references, Corrected typos, Accepted in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/27/9/095012

From the freedom exhibited by the generalized Einstein action proposed in [1], 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 neither on the Immirzi parameter nor on the torsion. This establishes the equivalence between the Einstein-Cartan theory and the theory of the general relativity minimally coupled to the fermionic matter.

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