Periodic thick-brane configurations and their stability

TL;DR

This paper explores 5D scalar field models with thick-brane solutions, demonstrating their inherent instability under small perturbations and proposing a stabilization method.

Contribution

It introduces a coupling to scalar curvature enabling periodic thick-brane configurations and proposes a model to stabilize these configurations.

Findings

Periodic thick-brane configurations are unstable under harmonic perturbations.

A coupling to scalar curvature can produce periodic solutions.

A stabilization model for these configurations is proposed.

Abstract

I investigate models with scalar fields in 5 dimensions that exhibit thick-brane configurations with a non-trivial metric. I show that an appropriate coupling to the scalar curvature allows for periodic configurations, which, however, are unstable under small harmonic perturbations. A model for stabilizing these configurations is proposed and discussed.