f(R)-Einstein-Palatini Formalism and smooth branes
  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. 
Paulo Michel L. T. da Silva and Julio Marny Hoff da Silva
hep-th gr-qc