Thick branes with inner structure in mimetic gravity

Abstract

In this paper, thick branes generated by mimetic scalar field are investigated. Three typical thick brane models are constructed and the linear tensor and scalar perturbations are analyzed. These branes have different inner structures, some of which are absent in general relativity. For each brane model, the solution is stable under both tensor and scalar perturbations. The tensor zero modes are localized on the branes, while the scalar perturbations do not propagate and they are not localized on the brane. As the branes split into multi sub-branes for specific parameters, the potentials of the tensor perturbations also split into multi-wells, and this may lead to new phenomenon in the resonance of the tensor perturbation and the localization of matter fields.

arXiv comment7 pages, 8 figures

References in corpus (58)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Dark Matter Candidates from Particle Physics and Methods of Detection
• The Einstein Equations on the 3-Brane World
• Modeling the fifth dimension with scalars and gravity
• Bulk Fields and Supersymmetry in a Slice of AdS
• Universal Aspects of Gravity Localized on Thick Branes
• Bulk Gauge Fields in the Randall-Sundrum Model
• Four-dimensional gravity on a thick domain wall
• Mimetic Dark Matter
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Bloch Brane
• Thick brane solutions
• Cosmology with Mimetic Matter
• Dust of Dark Energy
• Thick Brane Worlds and Their Stability
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Static spherically symmetric solutions in mimetic gravity: rotation curves & wormholes
• Dark energy from modified gravity with Lagrange multipliers
• Dynamical behavior in mimetic F(R) gravity
• First-order formalism for bent brane
• Cosmological viable Mimetic $f(R)$ and $f(R,T)$ theories via Noether symmetry
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• f(R)-Brane
• Thick Brane Worlds Arising From Pure Geometry
• Localization of 4D gravity on pure geometrical Thick branes
• Recovering a MOND-like acceleration law in mimetic gravity
• The two faces of mimetic Horndeski gravity: disformal transformations and Lagrange multiplier
• Accelerating Cosmology and Phase Structure of F(R) Gravity with Lagrange Multiplier Constraint: Mimetic Approach
• Thick Brane Split Caused by Spacetime Torsion
• Cosmological perturbations in mimetic matter model
• Model for self-tuning the cosmological constant
• Scalar-Kinetic Branes
• Fermion localization on a split brane
• Unimodular-Mimetic Cosmology
• Spherically symmetric brane in a bulk of f(R) and Gauss-Bonnet Gravity
• Cosmological perturbations in mimetic Horndeski gravity
• Gravity localization and mass hierarchy in scalar-tensor branes
• Cosmological models with Lagrange Multiplier Field
• Introduction to Extra Dimensions
• Pure geometric thick $f(R)$-branes: stability and localization of gravity
• A note on a mimetic scalar-tensor cosmological model
• Unimodular Mimetic $F(R)$ Inflation
• Some thick brane solutions in $f(R)$-gravity
• Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity
• The structure of $f(R)$-brane model
• Mimetic $F(R)$ inflation confronted with Planck and BICEP2/Keck Array data
• Brane worlds in gravity with auxiliary fields
• Study of field fluctuations and their localization in a thick braneworld generated by gravity non-minimally coupled to a scalar field with the Gauss-Bonnet term
• f(R) Gravities, Killing Spinor Equations, "BPS" Domain Walls and Cosmology
• Models for asymmetric hybrid brane
• Spectrum Structure of Fermion on Bloch Branes with Two Scalar-fermion Couplings
• Kinks and branes in models with hyperbolic interactions
• Brane-localized masses in magnetic compactifications
• Generalized Born-Infeld-like models for kinks and branes
• New models for asymmetric kinks and branes
• Diffractions from the brane and GW150914

Cited by in corpus (24)

• Thick brane in mimetic $f(T)$ gravity
• Thick brane structures in generalized hybrid metric-Palatini gravity
• Thick branes with inner structure in mimetic $f(R)$ gravity
• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Gravitational resonances in mimetic thick branes
• Two-field mimetic gravity revisited and Hamiltonian analysis
• Generalized geometrical coupling for vector field localization on thick brane in asymptotic Anti-de Sitter spacetime
• $U(1)$ gauge vector field on a codimension-2 brane
• Thick brane in Rastall gravity
• Scalar perturbation of gravitating double-kink solutions
• Fundamental energy scale of the thick brane in mimetic gravity
• Thick string-like braneworlds in f(T) gravity
• Evolution of scalar field resonances in a braneworld
• Localization of scalar field on the brane-world by coupling with gravity
• New results on asymmetric thick branes
• First order formalism for thick branes in modified gravity with Lagrange multiplier
• Novel modified gravity braneworld configurations with a Lagrange multiplier
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Extensions of two-field mimetic gravity
• New Results For Cuscuton Multi-Field Brane
• Thick brane models in generalized mimetic gravity
• Effects of Cuscuton dynamics on braneworld configurations in the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Constraints on generalized Eddington-inspired Born-Infeld branes