On the many-field f(R) brane

Abstract

We consider the Randall-Sundrum braneworld theory with a single extra dimension of infinite extent to investigate generalized $f(R)$ braneworld models in the presence of several real scalar fields. In particular, we solve the modified Einstein equations for the case of flat brane, with zero cosmological constant, and for the case of bent brane, with a nonvanishing cosmological constant. In both cases we found explicit solutions for the scalar fields with analytical expressions for the respective warp factors.

9 pages, version published in PLB

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Cited by in corpus (25)

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• Braneworld solutions for F(R) models with non-constant curvature
• Pure geometric thick $f(R)$-branes: stability and localization of gravity
• Braneworld cosmology in $f(R,T)$ gravity
• The structure of $f(R)$-brane model
• Thick branes with inner structure in mimetic $f(R)$ gravity
• Brane worlds in gravity with auxiliary fields
• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Tensor perturbations of Palatini $f(\mathcal{R})$-branes
• Braneworld solutions for modified theories of gravity with non-constant curvature
• Gravitational resonances on $f(R)$-brane
• Does black hole continuum spectrum signal f(R) gravity in higher dimensions?
• Configurational entropy as a bounding of Gauss-Bonnet braneworld models
• Linearization of a warped $f(R)$ theory in the higher-order frame
• Thick brane in Rastall gravity
• Tensor Perturbations and Thick Branes in Higher-dimensional $f(R)$ Gravity
• Models of modified $F(R,T)$ and cuscuton braneworld
• Linearization of a warped $f(R)$ theory in the higher-order frame II: the equation of motion approach
• Stability of braneworlds with non-minimally coupled multi-scalar fields
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Warped Brane worlds in Critical Gravity
• Pure geometric $f(R)$ branes
• Localization of $q$-form field on squared curvature gravity domain wall brane coupling with gravity and background scalar
• Effects of Cuscuton dynamics on braneworld configurations in the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Thick branes in the scalar-tensor representation of $f(R,T)$ gravity