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Randall-Sundrum limit of f(R) brane-world models (1107.3048v2)

Published 15 Jul 2011 in hep-th, astro-ph.CO, and gr-qc

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 $f(R)\rightarrow R$ 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.

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