Brane world scenario in the presence of a non-minimally coupled bulk scalar field

TL;DR

This paper explores brane world models with a non-minimally coupled scalar field, analyzing their stability and developing numerical methods to solve the Einstein equations in this context.

Contribution

It introduces a stability analysis and a numerical approach for brane world models with non-minimally coupled scalar fields, advancing understanding of their physical implications.

Findings

Stability conditions for scalar perturbations identified

Numerical solutions for Einstein equations with non-minimal coupling developed

Physical implications of the models discussed

Abstract

We present our recent work on brane world models with a non-minimally coupled scalar field. In [9] we examined the stability of these models against scalar field perturbations and we discussed possible physical implications, while in [10] we developed a numerical approach for the solution of the Einstein equations with the non-minimally coupled scalar field.