Effective gravitational equations for f(R) braneworld models

TL;DR

This paper explores how to formulate consistent gravitational equations for f(R) gravity models in braneworld scenarios, generalizing junction conditions and deriving effective field equations on the brane.

Contribution

It introduces a generalized set of junction conditions and a method to derive second order effective field equations for f(R) braneworld models.

Findings

Derived generalized junction conditions for f(R) gravity

Provided a prescription for effective field equations on the brane

Ensured gravitational consistency in f(R) braneworld models

Abstract

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.