First-order formalism and thick branes in mimetic gravity
General Relativity and Quantum Cosmology
2021-02-23 v1
Abstract
In this paper, we investigate thick branes generated by a scalar field in mimetic gravity theory. By introducing two auxiliary super-potentials, we transform the second-order field equations of the system into a set of first-order equations. With this first-order formalism, several types of analytical thick brane solutions are obtained. Then, tensor and scalar perturbations are analysed. We find that both kinds of perturbations are stable. The effective potentials for the tensor and scalar perturbations are dual to each other. The tensor zero mode can be localized on the brane while the scalar zero mode cannot. Thus, the four-dimensional Newtonian potential can be recovered on the brane.
Cite
@article{arxiv.2102.10251,
title = {First-order formalism and thick branes in mimetic gravity},
author = {Qun-Ying Xie and Qi-Ming Fu and Tao-Tao Sui and Li Zhao and Yi Zhong},
journal= {arXiv preprint arXiv:2102.10251},
year = {2021}
}
Comments
9 pages, 6 figures