Eur. Phys. J. Plus (2017) 132: 437
https://doi.org/10.1140/epjp/i2017-11702-7

Regular Article

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

Departamento de Física e Química, Universidade Estadual Paulista, Guaratinguetá, SP, Brazil

^* e-mail: pmichel@fc.unesp.br

Received: 24 June 2017
Accepted: 11 September 2017
Published online: 24 October 2017

Abstract

In this work, we present the -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 -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.