On the Generalized Einstein-Cartan Action with Fermions
General Relativity and Quantum Cosmology
2010-04-21 v3
Abstract
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.
Keywords
Cite
@article{arxiv.0908.2755,
title = {On the Generalized Einstein-Cartan Action with Fermions},
author = {Meriem-Hadjer Lagraa and Mohammed Lagraa},
journal= {arXiv preprint arXiv:0908.2755},
year = {2010}
}
Comments
8 pages, Added references, Corrected typos, Accepted in Class. Quant. Grav