First-order formalism and thick branes in mimetic gravity

Autor:	Xie, Qun-Ying, Fu, Qi-Ming, Sui, Tao-Tao, Zhao, Li, Zhong, Yi
Rok vydání:	2021
Předmět:	General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
Popis:	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. Comment: 9 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.10251 Zobrazit plný text záznamu View this record from Arxiv