Tensor perturbations of Palatini $f(\mathcal{R})$-branes

Abstract

We investigate the thick brane model in Palatini $f(\mathcal{R})$ gravity. The brane is generated by a real scalar field with a scalar potential. We solve the system analytically and obtain a series of thick brane solutions for the $f(\mathcal{R})=\mathcal{R}+\alpha {\mathcal{R}}^2$-brane model. It is shown that tensor perturbations of the metric are stable for $df(\mathcal{R})/d\mathcal{R}>0$. For nonconstant curvature solutions, the graviton zero mode can be localized on the brane, which indicates that the four-dimensional gravity can be recovered on the brane. Mass spectrum of graviton KK modes and their corrections to the Newtonian potential are also discussed.

arXiv commentv3: 19 pages, 2 figures

References in corpus (49)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• f(R) theories
• Extended Theories of Gravity
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Brane-world gravity
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Universal Aspects of Gravity Localized on Thick Branes
• Four-dimensional gravity on a thick domain wall
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Eddington's theory of gravity and its progeny
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Palatini form of 1/R gravity
• Thick brane solutions
• Cosmological constraints on f(R) gravity theories within the Palatini approach
• An Early Proposal of "Brane World"
• Thick Brane Worlds and Their Stability
• Thick domain walls and singular spaces
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Fermion Localization and Resonances on A de Sitter Thick Brane
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Palatini Formulation of Modified Gravity with $\ln R$ Terms
• Constraining f(R) gravity in the Palatini formalism
• f(R)-Brane
• Unification of inflation and cosmic acceleration in the Palatini formalism
• Isotropic and Anisotropic Bouncing Cosmologies in Palatini Gravity
• Viable Palatini-f(R) cosmologies with generalized dark matter
• Domain wall brane in squared curvature gravity
• Gravitational potential in Palatini formulation of modified gravity
• Braneworld solutions for F(R) models with non-constant curvature
• Domain Wall Brane in Eddington Inspired Born-Infeld Gravity
• Tensor perturbations of $f(R)$-branes
• Perturbative aspects and conformal solutions of F(R) gravity
• Bulk matter fields on two-field thick branes
• Some thick brane solutions in $f(R)$-gravity
• Five-Dimensional f(R) Braneworld Models
• On the many-field f(R) brane
• f(R) Gravities, Killing Spinor Equations, "BPS" Domain Walls and Cosmology
• Gravity Localization and Effective Newtonian Potential for Bent Thick Branes
• Stability and (quasi-)localization of gravitational fluctuations in Eddington-Inspired Born-Infeld brane system
• Brane worlds in critical gravity

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• Thick branes with inner structure in mimetic $f(R)$ gravity
• Stable Palatini $f(\mathcal{R})$ braneworld
• Configurational Entropy and braneworlds in f(T,B) gravity
• Hybrid metric-Palatini brane system
• Fundamental energy scale of the thick brane in mimetic gravity
• 5D Elko spinor field non-minimally coupled to nonmetricity in $f(Q)$ gravity
• Corrections to Newton's law of gravitation in the context of codimension-1 warped thick braneworlds
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
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