First-order formalism and thick branes in mimetic gravity

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.

arXiv comment9 pages, 6 figures

References in corpus (24)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Einstein Equations on the 3-Brane World
• Modeling the fifth dimension with scalars and gravity
• Universal Aspects of Gravity Localized on Thick Branes
• Bloch Brane
• On the recently proposed Mimetic Dark Matter
• Fermion Localization and Resonances on A de Sitter Thick Brane
• First-order formalism for bent brane
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Accelerating Cosmology and Phase Structure of F(R) Gravity with Lagrange Multiplier Constraint: Mimetic Approach
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• Gauss-Bonnet dark energy by Lagrange multipliers
• Cosmological perturbations in mimetic Horndeski gravity
• Gravity localization and mass hierarchy in scalar-tensor branes
• Braneworld Mimetic Cosmology
• Introduction to Extra Dimensions
• Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity
• First Order Formalism for Thick Branes in Modified Teleparallel Gravity
• Gravitational resonances in mimetic thick branes
• Large-scale structure in mimetic Horndeski gravity
• Unified description of dark energy and dark matter in mimetic matter model
• Novel modified gravity braneworld configurations with a Lagrange multiplier
• Mimetic Einstein-Cartan-Kibble-Sciama (ECKS) gravity