Note on the Gauss-Bonnet braneworld scenario

TL;DR

This paper explores five-dimensional braneworld models with a scalar field and Gauss-Bonnet gravity modifications, deriving exact solutions and revealing brane splitting phenomena under certain conditions.

Contribution

It introduces exact braneworld solutions incorporating generic Gauss-Bonnet terms and analyzes the effects of these modifications on brane structure and stability.

Findings

Brane solutions are explicitly constructed for first and second order Gauss-Bonnet terms.

The brane tends to split when the gravity sector is modified with a non-constant Gauss-Bonnet term.

Gauss-Bonnet modifications influence the geometric and physical properties of the brane.

Abstract

In this work we deal with the presence of braneworld solutions in a five-dimensional space-time with a single extra spatial dimension of infinite extent. The braneworld scenario is built under the presence of a single real scalar field, and we modify the gravity sector to include generic function of the Gauss-Bonnet term. We study several specific models, and we construct exact braneworld solutions, in particular for including the Gauss-Bonnet term at first and second order power. As an interesting result, we show that the brane tends to split for a specific modification in the gravity sector, in the presence of non constant Gauss-Bonnet term.