First-Order Formalism and Thick Branes in Mimetic Gravity

In this paper, we investigate thick branes generated by a scalar field in mimetic gravity theory, which is inspired by considering the conformal symmetry under the conformal transformation of an auxiliary metric. By introducing two auxiliary super-potentials, we transform the second-order field equa...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 13; no. 8; p. 1345
Main Authors Xie, Qun-Ying, Fu, Qi-Ming, Sui, Tao-Tao, Zhao, Li, Zhong, Yi
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.08.2021
Subjects
Branes
Conformal mapping
Dark energy
first-order formalism
Formalism
Gravity
Lagrange multiplier
Linear equations
Mathematical analysis
mimetic gravity
Perturbation
Scalars
Spacetime
Symmetry
Tensors
Theory of relativity
thick brane
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Summary:In this paper, we investigate thick branes generated by a scalar field in mimetic gravity theory, which is inspired by considering the conformal symmetry under the conformal transformation of an auxiliary metric. 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 analyzed. 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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym13081345