Smooth braneworld models possibility in modified gravities

TL;DR

This paper explores the possibility of smooth thick braneworld models within modified gravity theories, specifically in five dimensions with compact extra dimensions, highlighting the role of scalar fields in relaxing gravitational constraints.

Contribution

It demonstrates that modified gravity frameworks, like Brans-Dicke theory, enable the existence of thick branes by relaxing gravitational constraints through scalar field potentials.

Findings

Thick branes can exist in five-dimensional modified gravity models.

Scalar field potentials are crucial for satisfying consistency conditions.

Modified gravity relaxes traditional gravitational constraints on brane models.

Abstract

It is shown that the consideration of the braneworld consistency conditions within the framework of bulk modified gravities allows for the existence of thick branes in the five- dimensional case with compact extra dimension. In studing the specific consistency conditions in the Brans-Dicke gravity we were able to show that the brane generating scalar field potential is relevant for relaxing the gravitational constraints.