Braneworld solutions for modified theories of gravity with non-constant curvature

TL;DR

This paper develops a method to find analytical solutions for braneworld models in five dimensions with a scalar field, considering modified gravity where the Ricci scalar varies, expanding understanding of such complex geometries.

Contribution

It introduces a novel procedure to derive analytical solutions in braneworld models with non-constant Ricci scalar in modified gravity theories.

Findings

Analytical solutions for braneworld configurations with variable Ricci scalar.

Applicable to a wide range of models with scalar fields and modified gravity.

Enhances understanding of higher-dimensional gravity scenarios.

Abstract

We study braneworld models in the presence of scalar field in a five-dimensional geometry with a single extra dimension of infinite extent, with gravity modified to include a function of the Ricci scalar. We develop a procedure that allows to obtain analytical solution for the braneworld configuration in a diversity of models, in the much harder case where the Ricci scalar is non constant quantity.