The viability of achieving gravitational consistent braneworld models in the framework of a $f(R)$ theory of gravity is investigated. After a careful generalization of the usual junction conditions encompassing the embedding of the 3-brane into a $f(R)$ bulk, we provide a prescription giving the necessary constraints in order to implement the projected second-order effective field equations on the brane.

• Received 3 April 2013

DOI:https://doi.org/10.1103/PhysRevD.87.106011