F(R)-Einstein-Palatini formalism and smooth branes

Abstract

In this work, we present the $ f(R)$ -Einstein-Palatini formalism in arbitrary dimensions and the study of consistency applied to brane models, the so-called braneworld sum rules. We show that a scenario of thick branes in five dimensions with compact extra dimension in the framework of the $ f(R)$ -Einstein-Palatini theory is possible by the accomplishment of an assertive criteria. We finalize investigating the outputs of the resulting sum rules with respect to a stabilization mechanism.