Tensor Perturbations and Thick Branes in Higher Dimensional Gauss-Bonnet Gravity
High Energy Physics - Theory
2022-03-28 v1 General Relativity and Quantum Cosmology
Abstract
A thick brane model with Gauss-Bonnet action in a homogeneous anisotropic spacetime is studied. By choosing a concrete metric ansatz, we show that this spacetime is stable against linear tensor perturbations under certain conditions. The graviton zero modes are also given. Besides, we examine a particular example in six-dimensional spacetime with a given warp factor. The coupled background scalar field and its potential are solved analytically. Furthermore, the effective potential of the Kaluza-Klein modes of the graviton is also discussed. We found that the effective potential can have singularities under certain conditions, which are related to the non-differentiability of the graviton zero modes.
Cite
@article{arxiv.2203.13401,
title = {Tensor Perturbations and Thick Branes in Higher Dimensional Gauss-Bonnet Gravity},
author = {Yongqun Xu and Xiangdong Zhang},
journal= {arXiv preprint arXiv:2203.13401},
year = {2022}
}
Comments
17 pages, 10 figures