Graviton localization and Newton's law for brane models with a non-minimally coupled bulk scalar field

Abstract

Brane world models with a non-minimally coupled bulk scalar field have been studied recently. In this paper we consider metric fluctuations around an arbitrary gravity-scalar background solution, and we show that the corresponding spectrum includes a localized zero mode which strongly depends on the profile of the background scalar field. For a special class of solutions, with a warp factor of the RS form, we solve the linearized Einstein equations, for a point-like mass source on the brane, by using the brane bending formalism. We see that general relativity on the brane is recovered only if we impose restrictions on the parameter space of the models under consideration.

arXiv comment17 pages, revised version

References in corpus (44)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Modeling the fifth dimension with scalars and gravity
• Brane-world gravity
• Gravity in the Randall-Sundrum Brane World
• Large and infinite extra dimensions
• Universal Aspects of Gravity Localized on Thick Branes
• A Small Cosmological Constant from a Large Extra Dimension
• Linearized Gravity in Brane Backgrounds
• Localized Gravitons, Gauge Bosons and Chiral Fermions in Smooth Spaces Generated by a Bounce
• String-Inspired Higher-Curvature Terms and the Randall-Sundrum Scenario
• Testing Alternative Theories of Gravity using LISA
• An Introduction to Extra Dimensions
• Gauge-invariant fluctuations of scalar branes
• Localization of 4D gravity on pure geometrical Thick branes
• 4D gravity localized in non Z_2-symmetric thick branes
• Avoidance of Naked Singularities in Dilatonic Brane World Scenarios with a Gauss-Bonnet Term
• Graviton Propagators, Brane Bending and Bending of Light in Theories with Quasi-Localized Gravity
• Localization of metric fluctuations on scalar branes
• Higher order corrections to the Newtonian potential in the Randall-Sundrum model
• Thick branes and Gauss-Bonnet self-interactions
• Geodesics and Newton's Law in Brane Backgrounds
• Exact Solutions and the Cosmological Constant Problem in Dilatonic-Domain-Wall Higher-Curvature String Gravity
• Brane Models with a Ricci-Coupled Scalar Field
• Scalar brane backgrounds in higher order curvature gravity
• Brane world corrections to Newton's law
• Lattice Evidence for Gauge Field Localization on a Brane
• Second Randall-Sundrum brane world scenario with a nonminimally coupled bulk scalar field
• Gravity-induced instability and gauge field localization
• Second Order Perturbations in the Randall-Sundrum Infinite Brane-World Model
• Gauge Theories with a Layered Phase
• Gauss-Bonnet gravity, brane world models, and non-minimal coupling
• Effective gauge theories on domain walls via bulk confinement?
• Second order perturbations in the radius stabilized Randall-Sundrum two branes model
• Gravitating multidefects from higher dimensions
• The 4-D Layer Phase as a Gauge Field Localization: Extensive Study of the 5-D Anisotropic U(1) Gauge Model on the Lattice
• The Phase Diagram for the anisotropic SU(2) Adjoint Higgs Model in 5D: Lattice Evidence for Layered Structure
• Kink-antikink, trapping bags and five-dimensional Gauss-Bonnet gravity
• Layered Higgs Phase as a Possible Field Localisation on a Brane
• Linearized gravity, Newtonian limit and light deflection in RS1 model
• Gravitational Forces in the Randall-Sundrum Model with a Scalar Stabilizing Field
• Gravitational Forces on the Branes

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• Cosmology with non-minimal derivative couplings: perturbation analysis and observational constraints
• Aspects of thick brane worlds: 4D gravity localization, smoothness, and mass gap
• New localization method of U(1) gauge vector field on flat branes in (asymptotic) $Ad{S}_5$ spacetime
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• 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
• Generalized Randall-Sundrum model with a single thick brane
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• New Black-String Solutions for an Anti-de Sitter Brane in Scalar-Tensor Gravity
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• On the stability of thick brane worlds non-minimally coupled to gravity
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• Incorporating Physical Constraints in Braneworld Black-String Solutions for a Minkowski Brane in Scalar-Tensor Gravity
• Configurational Entropy and braneworlds in f(T,B) gravity
• Spontaneous Symmetry Breaking in the Bulk as a Localization Mechanism of Fields on the Brane
• Thick brane in Rastall gravity
• Thick braneworlds generated by a non-minimally coupled scalar field and a Gauss-Bonnet term: conditions for localization of gravity
• Bulk photons in Asymmetrically Warped Space-times and Non-trivial Vacuum Refractive Index
• Time-dependent gravitating solitons in five dimensional warped space-times
• Asymmetrically Warped Brane Models, Bulk Photons and Lorentz Invariance
• Lorentz violation effects in asymmetric two brane models: a nonperturbative analysis
• On gravity localization in scalar braneworlds with a super-exponential warp factor
• Discrete graviton spectrum from super-exponential cup potentials and their application to braneworld physics