Localization of 4D gravity on pure geometrical Thick branes

Abstract

We consider the generation of thick brane configurations in a pure geometric Weyl integrable 5D space time which constitutes a non-Riemannian generalization of Kaluza-Klein (KK) theory. In this framework, we show how 4D gravity can be localized on a scalar thick brane which does not necessarily respect reflection symmetry, generalizing in this way several previous models based on the Randall-Sundrum (RS) system and avoiding both, the restriction to orbifold geometries and the introduction of the branes in the action by hand. We first obtain a thick brane solution that preserves 4D Poincar'e invariance and breaks Z_2-symmetry along the extra dimension which, indeed, can be either compact or extended, and supplements brane solutions previously found by other authors. In the non-compact case, this field configuration represents a thick brane with positive energy density centered at y=c_2, whereas pairs of thick branes arise in the compact case. Remarkably, the Weylian scalar curvature is non-singular along the fifth dimension in the non-compact case, in contraposition to the RS thin brane system. We also recast the wave equations of the transverse traceless modes of the linear fluctuations of the classical background into a Schr"odinger's equation form with a volcano potential of finite bottom in both the compact and the extended cases. We solve Schr"odinger equation for the massless zero mode m^2=0 and obtain a single bound wave function which represents a stable 4D graviton. We also get a continuum gapless spectrum of KK states with m^2>0 that are suppressed at y=c_2 and turn asymptotically into plane waves.

6 pages in PRD format, 3 figures, we corrected signs in the field equations, the expressions for the scalar field and the self-interacting potential. Due to the fact that no changes are introduced in the warp factor, the physics of the system remains the same

References in corpus (2)

• 4D gravity localized in non Z_2-symmetric thick branes
• Can thick braneworlds be self-consistent?

Cited by in corpus (76)

• Quintom Cosmology: Theoretical implications and observations
• Thick brane solutions
• Fermion localization and resonances on two-field thick branes
• Fermion Localization and Resonances on A de Sitter Thick Brane
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• Braneworld models with a non-minimally coupled phantom bulk field: a simple way to obtain the -1-crossing at late times
• Localization of Matters on Pure Geometrical Thick Branes
• Thick Brane Split Caused by Spacetime Torsion
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes
• Mass gap for gravity localized on Weyl thick branes
• Scalar-Kinetic Branes
• Localization of 5D Elko Spinors on Minkowski Branes
• Localization of bulk matter fields, the hierarchy problem and corrections to Coulomb's law on a pure de Sitter thick braneworld
• Thick branes with a nonminimally coupled bulk-scalar field
• Fermion localization on asymmetric two-field thick branes
• Localization of Matters on Anti-de Sitter Thick Branes
• Bulk matter fields on two-field thick branes
• Pure geometric thick $f(R)$-branes: stability and localization of gravity
• Effects of the variation of mass on fermion localization and resonances on thick branes
• A de Sitter tachyon thick braneworld
• Aspects of thick brane worlds: 4D gravity localization, smoothness, and mass gap
• Graviton localization and Newton's law for brane models with a non-minimally coupled bulk scalar field
• Fermion Resonances on a Thick Brane with a Piecewise Warp Factor
• Localization of fermionic fields on braneworlds with bulk tachyon matter
• Localization of gauge fields in a tachyonic de Sitter thick braneworld
• New localization method of U(1) gauge vector field on flat branes in (asymptotic) $Ad{S}_5$ spacetime
• Full linear perturbations and localization of gravity on $f(R,T)$ brane
• Thick de Sitter brane solutions in higher dimensions
• Localization of Bulk Matters on a Thick Anti-de Sitter Brane
• Dynamical tachyonic AdS/QCD and information entropy
• Fermion localization mechanism with derivative geometrical coupling on branes
• Thick branes with inner structure in mimetic gravity
• Fermions on deformed thick branes
• Localization of gauge bosons in the 5D standing wave braneworld
• Fermionic Kaluza-Klein modes in the string-cigar braneworld
• Brane worlds in gravity with auxiliary fields
• Bulk Matters on a GRS-Inspired Braneworld
• Gravity Localization and Effective Newtonian Potential for Bent Thick Branes
• 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
• Bulk Antisymmetric tensor fields coupled to a dilaton in a Randall-Sundrum model
• An anisotropic standing wave braneworld and associated Sturm-Liouville problem
• Brane Cosmology with a Non-Minimally Coupled Bulk-Scalar Field
• Deformed brane with finite extra dimension
• Localization of scalar and tensor fields in the standing wave braneworld with increasing warp factor
• On the embedding of spacetime in five-dimensional Weyl spaces
• Thick Brane Isotropization in a Generalized 5D Anisotropic Standing Wave Braneworld Model
• Localization Problem in the 5D Standing Wave Braneworld
• Can degenerate bound states occur in one dimensional quantum mechanics?
• Non-minimal coupling of fermion to the torsion in the modified teleparallel braneworld
• Generalized geometrical coupling for vector field localization on thick brane in asymptotic Anti-de Sitter spacetime
• Universal Aspects of $U(1)$ Gauge Field Localization on Branes in $D$-dimensions
• Thick braneworlds generated by a non-minimally coupled scalar field and a Gauss-Bonnet term: conditions for localization of gravity
• Thick brane in Rastall gravity
• Exact bound states in volcano potentials
• Thick string-like braneworlds in f(T) gravity
• Exact Solutions in 5-D Brane Models With Scalar Fields
• Fundamental energy scale of the thick brane in mimetic gravity
• Thick braneworld model in nonmetricity formulation of general relativity and its stability
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• New results on asymmetric thick branes
• Configurational Entropy as a tool to select a physical Thick Brane Model
• Localizing gravity on thick branes: a solution for massive KK modes of the Schroedinger equation
• First order formalism for thick branes in modified gravity with Lagrange multiplier
• Refinements of the Weyl pure geometrical thick branes from information-entropic measure
• Localization and mass spectra of various matter fields on Weyl thin brane
• Localization mechanism of $q-$form field on the brane-world by coupling with gravity
• Vacuum $f(R)$ thick brane solution with a Gaussian warp function
• Pure Geometric Branes and Mass Hierarchy
• Localization of Vector Field on Pure Geometrical Thick Brane
• On the embedding of Weyl manifolds
• Fermion confinement induced by geometry
• On gravity localization in scalar braneworlds with a super-exponential warp factor
• Zero Modes of Matter Fields on Scalar Flat Thick Branes
• Thick brane in Palatini formalism with a non-minimally coupled bulk scalar field
• Kinklike structures in an arcsin real scalar dynamics