Braneworld solutions for modified theories of gravity with non-constant curvature

Abstract

We study braneworld models in the presence of scalar field in a five-dimensional geometry with a single extra dimension of infinite extent, with gravity modified to include a function of the Ricci scalar. We develop a procedure that allows to obtain analytical solution for the braneworld configuration in a diversity of models, in the much harder case where the Ricci scalar is non constant quantity.

10 pages, 14 figures; to appear in PRD

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Cited by in corpus (18)

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• Frame-invariant approach to higher-dimensional scalar-tensor gravity
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• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Localization of Gravitino Field on $f(R)$ Thick Branes
• Gravitational resonances on $f(R)$-brane
• Mechanism to control the internal structure of thick brane
• Symmetric and asymmetric thick brane structures
• Hybrid metric-Palatini brane system
• Linear Stability of $f(R,\varphi ,X)$ Thick Branes: Tensor Perturbations
• Tensor Perturbations and Thick Branes in Higher-dimensional $f(R)$ Gravity
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• First order formalism for thick branes in modified gravity with Lagrange multiplier
• Generalized Jackiw-Teitelboim gravity in presence of Bloch brane-like models
• Multi-kink braneworld configurations in the scalar-tensor representation of $f(R,T)$ gravity
• Geometrical deformation of brane matter field within $f(R,Q,P)$ gravity
• Analytical solutions for Maxwell-scalar system on radially symmetric spacetimes