Cosmological dynamics of brane f(R) gravity

Abstract

The cosmological dynamics of a brane world scenario where the bulk action is taken as a generic function of the Ricci scalar is considered in a framework where the use of the ${\mathbb{Z}}_2$ symmetry and Israel junction conditions are relaxed. The corresponding cosmological solutions for some specific forms of $f(\mc{R})$ are obtained and shown to be in the form of exponential as well as power law for a vacuum brane space-time. It is shown that the existence of matter dominated epoch for a bulk action in the form of a power law for $\mathcal{R}$ can only be obtained in the presence of ordinary matter. Using phase space analysis, we show that the universe must start from an unstable matter dominated epoch and eventually falls into a stable accelerated expanding phase.

18 pages, 4 figures, to appear in JCAP

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• Solving higher curvature gravity theories
• Cosmological phase space analysis of the F (X) - V (phi) scalar field and bouncing solutions
• Spherically symmetric brane in a bulk of f(R) and Gauss-Bonnet Gravity
• Localization of five-dimensional Elko spinors with non-minimal coupling on thick branes
• Horndeski theories confront the Gravity Probe B experiment
• Excavating black hole continuum spectrum: Possible signatures of scalar hairs and of higher dimensions
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• Asymptotic behavior of a scalar field with an arbitrary potential trapped on a Randall-Sundrum's braneworld: the effect of a negative dark radiation term on a Bianchi I brane
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• Analytic charged BHs in $f(\mathcal{R})$ gravity
• Probing the statistical properties of CMB $B$-mode polarization through Minkowski Functionals
• Localization and mass spectrum of $q-$form fields on branes
• New localization mechanism and Hodge duality for $q-$form field
• Does black hole continuum spectrum signal f(R) gravity in higher dimensions?
• Localization of $q-$form fields on $Ad{S}_{p+1}$ branes
• Classical Tests of General Relativity: Probing Topologically Charged Black Holes on Brane Worlds in f(R) Bulk
• Dynamical modelling of disc vertical structure in superthin galaxy `UGC 7321' in braneworld gravity: An MCMC study
• Localization of five-dimensional Elko Spinors on dS/AdS Thick Branes
• Softly broken conformal symmetry with higher curvature terms
• Dynamical heredity from f(R)-bulk to braneworld: curvature dynamical constraint and f(R)-unimodular gravity