Chern-Simons Gravity in Four Dimensions
General Relativity and Quantum Cosmology
2017-03-08 v1
Abstract
Five dimensional Chern-Simons theory with (anti-)de Sitter SO(1,5) or SO(2,4) gauge invariance presents an alternative to General Relativity with cosmological constant. We consider the zero-modes of its Kaluza-Klein compactification to four dimensions. Solutions with vanishing torsion are obtained in the cases of a spherically symmetric 3-space and of a homogeneous and isotropic 3-space, which reproduce the Schwarzshild-de Sitter and CDM cosmological solutions of General Relativity. We also check that vanishing torsion is a stable feature of the solutions.
Cite
@article{arxiv.1701.03642,
title = {Chern-Simons Gravity in Four Dimensions},
author = {Ivan Morales and Bruno Neves and Zui Oporto and Olivier Piguet},
journal= {arXiv preprint arXiv:1701.03642},
year = {2017}
}
Comments
25 pages, Latex