f(R)-Einstein-Palatini Formalism and smooth branes

TL;DR

This paper explores the f(R)-Einstein-Palatini formalism in arbitrary dimensions, applying it to thick brane models in five dimensions, and establishes criteria for consistent braneworld scenarios within this theoretical framework.

Contribution

It introduces the f(R)-Einstein-Palatini formalism to braneworld models and develops criteria for consistent thick brane configurations in five-dimensional theories.

Findings

Thick brane scenarios are feasible in five dimensions within the f(R)-Einstein-Palatini framework.

The study establishes criteria for the consistency of braneworld models in this formalism.

The formalism extends the understanding of extra-dimensional models in modified gravity theories.

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 it is possible a scenario of thick branes in five dimensions with compact extra dimension in the framework of the f(R)-Einstein-Palatini theory by the accomplishment of an assertive criteria.