Brane gravity in 4D from Chern-Simons gravity theory
General Relativity and Quantum Cosmology
2020-12-23 v1
Abstract
We evaluate a 5-dimensional Randall Sundrum type metric in the Lagrangian of the Einstein-Chern-Simons gravity, and then we derive an action and its corresponding field equations, for a 4-dimensional brane embedded in the 5-dimensional space-time of the theory, which in the limit l--0 leads to the 4-dimensional general relativity with cosmological constant. An interpretation of the h*a matter field present in the Einstein-Chern-Simons gravity action is given. As an application, we find some Friedmann-Lemaitre-Robertson-Walker cosmological solutions that exhibit accelerated behavior.
Cite
@article{arxiv.2012.11593,
title = {Brane gravity in 4D from Chern-Simons gravity theory},
author = {R. Díaz and F. Gómez and M. Pinilla and P. Salgado},
journal= {arXiv preprint arXiv:2012.11593},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2012.10578