Tensor Perturbations and Thick Branes in Higher-dimensional $f(R)$ Gravity
High Energy Physics - Theory
2020-12-22 v2 General Relativity and Quantum Cosmology
Abstract
We study brane worlds in an anisotropic higher-dimensional spacetime within the context of gravity. Firstly, we demonstrate that this spacetime with a concrete metric ansatz is stable against linear tensor perturbations under certain conditions. Moreover, the Kaluza-Klein modes of the graviton are analyzed. Secondly, we investigate thick brane solutions in six dimensions and their properties. We further exhibit two sets of solutions for thick branes. At last, the effective potential of the Kaluza-Klein modes of the graviton is discussed for the two solved models in higher dimensions.
Cite
@article{arxiv.2009.00512,
title = {Tensor Perturbations and Thick Branes in Higher-dimensional $f(R)$ Gravity},
author = {Zheng-Quan Cui and Zi-Chao Lin and Jun-Jie Wan and Yu-Xiao Liu and Li Zhao},
journal= {arXiv preprint arXiv:2009.00512},
year = {2020}
}
Comments
30 pages, 10 figures; Sec IV updated; Appendix C added; minor other changes made; matches the published version