Randall-Sundrum limit of f(R) brane-world models

Abstract

By setting some special boundary conditions in the variational principle we obtain junction conditions for the five-dimensional $f(R)$ gravity which in the Einstein limit $f(R)\to R$ transform into the standard Randall-Sundrum junction conditions. We apply these junction conditions to a particular model of a Friedmann universe on the brane and show explicitly that the limit gives the standard Randall-Sundrum model Friedmann equation.

6 pages, no figures, REVTEX4, minor changes

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• Gravitational double layers
• Thick branes with inner structure in mimetic $f(R)$ gravity
• Stability and (quasi-)localization of gravitational fluctuations in Eddington-Inspired Born-Infeld brane system
• Braneworld solutions for modified theories of gravity with non-constant curvature
• Localization and mass spectra of various matter fields on scalar-tensor brane