Vector-tensor gravity from a broken gauge symmetry
General Relativity and Quantum Cosmology
2023-04-21 v2 High Energy Physics - Theory
Abstract
In this paper we present a Yang-Mills type gauge theory of vector-tensor gravity, where the tetrad, the spin connection and vector field are identified with components of the gauge field. This setup leads to a theory that is contained in Generalized Proca theories. We solve for static and spherically symmetric space-time and show that there are two branches of solutions, one where the metric is asymptotically Schwarzschild even though there is a cosmological constant in the action, and another one where the metric is asymptotically (anti-)de Sitter. Also, we study the effect of the vector field on homogeneous and isotropic spacetimes, finding that it contributes to the accelerated expansion of the metric.
Cite
@article{arxiv.2207.06599,
title = {Vector-tensor gravity from a broken gauge symmetry},
author = {Javier Chagoya and M. Sabido and A. Silva-García},
journal= {arXiv preprint arXiv:2207.06599},
year = {2023}
}