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

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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)→ 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.