Fundamental energy scale of the thick brane in mimetic gravity

Abstract

In this paper, thick branes generated by the mimetic scalar field with Lagrange multiplier formulation are investigated. We give three typical thick brane background solutions with different asymptotic behaviors and show that all the solutions are stable under tensor perturbations. The effective potentials of the tensor perturbations exhibit as volcano potential, Poöschl-Teller potential, and harmonic oscillator potential for the three background solutions, respectively. All the tensor zero modes (massless gravitons) of the three cases can be localized on the brane. We also calculate the corrections to the Newtonian potential. On a large scale, the corrections to the Newtonian potential can be ignored. While on a small scale, the correction from the volcano-like potential is more pronounced than the other two cases. Combining the specific corrections to the Newtonian potential of these three cases and the latest results of short-range gravity experiments, we get the constraint on the scale parameter as $k\gtrsim 10^{-4}$eV, and constraint on the corresponding five-dimensional fundamental scale as $M_{\ast }\gtrsim 10^5$TeV.

arXiv comment12 pages, 5 fugures

References in corpus (79)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• The Einstein Equations on the 3-Brane World
• Curvature Quintessence
• Modeling the fifth dimension with scalars and gravity
• Electroweak symmetry breaking from dimensional deconstruction
• Bulk Fields and Supersymmetry in a Slice of AdS
• Non-Baryonic Dark Matter - Observational Evidence and Detection Methods
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Large and infinite extra dimensions
• Universal Aspects of Gravity Localized on Thick Branes
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Bulk Gauge Fields in the Randall-Sundrum Model
• MeV Dark Matter: Has It Been Detected?
• Four-dimensional gravity on a thick domain wall
• Updated Nucleosynthesis Constraints on Unstable Relic Particles
• Mimetic Dark Matter
• SuperWIMP Dark Matter Signals from the Early Universe
• Axinos as Cold Dark Matter
• Axinos as Dark Matter
• Infinitely Large New Dimensions
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• New Test of the Gravitational $1/r^2$ Law at Separations down to 52 $\mu$m
• Heavy Sneutrinos as Dark Matter
• A f(R) gravity without cosmological constant
• Thick brane solutions
• Cosmology with Mimetic Matter
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• Cosmological 3-Brane Solutions
• On the recently proposed Mimetic Dark Matter
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Early Structure Formation and Reionization in a Warm Dark Matter Cosmology
• Dynamical behavior in mimetic F(R) gravity
• First-order formalism for bent brane
• Aspects of cosmological expansion in F(R) gravity models
• Do We Need Stars to Reionize the Universe at High Redshifts? Early Reionization by Decaying Heavy Sterile Neutrinos
• Single-Brane Cosmological Solutions with a Stable Compact Extra Dimension
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Cosmological viable Mimetic $f(R)$ and $f(R,T)$ theories via Noether symmetry
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Gauge-invariant fluctuations of scalar branes
• f(R)-Brane
• Gravity localization on thick branes: a numerical approach
• Localization of 4D gravity on pure geometrical Thick branes
• Thick Brane Worlds Arising From Pure Geometry
• Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity
• Dark matter as a ghost free conformal extension of Einstein theory
• Cosmological perturbations in mimetic matter model
• Mass gap for gravity localized on Weyl thick branes
• Model for self-tuning the cosmological constant
• Scalar-Kinetic Branes
• New Modified Mimetic Gravity
• Thick brane models in generalized theories of gravity
• Gravity localization and mass hierarchy in scalar-tensor branes
• Dark energy, cosmological constant and neutrino mixing
• Spherically symmetric static vacuum solutions in Mimetic gravity
• Introduction to Extra Dimensions
• Gauge Couplings at High Temperature and the Relic Gravitino Abundance
• Pure geometric thick $f(R)$-branes: stability and localization of gravity
• A note on a mimetic scalar-tensor cosmological model
• Some thick brane solutions in $f(R)$-gravity
• Unimodular Mimetic $F(R)$ Inflation
• Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity
• Thick brane in mimetic $f(T)$ gravity
• Mimetic Massive Gravity: Beyond Linear Approximation
• Thick branes with inner structure in mimetic gravity
• Brane worlds in gravity with auxiliary fields
• Ghost Free Mimetic Massive Gravity
• 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
• Tensor perturbations of Palatini $f(\mathcal{R})$-branes
• Introduction to Extra Dimensions and Thick Braneworlds
• Coulomb's law corrections and fermion field localization in a tachyonic de Sitter thick braneworld
• Massive mimetic cosmology
• Thick brane in reduced Horndeski theory
• Pure Geometric Branes and Mass Hierarchy

Cited by in corpus (8)

• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Bridging Dimensions: General Embedding Algorithm and Field-Theory Reconstruction in 5D Braneworld Models
• Effective action of a self-interacting scalar field on brane
• Holographic complexity of braneworld in Horndeski gravity
• Quasinormal ringing of thick braneworlds with a finite extra dimension
• On the uplift of 4D wormholes in Braneworld models and their 5D structure
• 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