Generalized Chern-Simons Modified Gravity in First-Order Formalism
General Relativity and Quantum Cosmology
2016-08-14 v2 High Energy Physics - Theory
Abstract
We propose a generalization of Chern-Simons (CS) modified gravity in first-order formalism. CS modified gravity action has a term that comes from the chiral anomaly which is Pontryagin invariant. First-order CS modified gravity is a torsional theory and in a space-time with torsion the chiral anomaly includes a torsional topological term called Nieh-Yan invariant. We generalize the CS modified gravity by adding the Nieh-Yan term to the action and find the effective theory. We compare the generalized theory with the first-order CS modified gravity and comment on the similarities and differences.
Keywords
Cite
@article{arxiv.0912.1433,
title = {Generalized Chern-Simons Modified Gravity in First-Order Formalism},
author = {Ümit Ertem and Özgür Açık},
journal= {arXiv preprint arXiv:0912.1433},
year = {2016}
}
Comments
8 pages, an author added, new paragraphs, comments and references added, published in Gen. Relativ. Gravit