Mechanism to control the internal structure of thick brane

TL;DR

This paper develops a formalism to analyze and control the internal structure of thick branes generated by multiple scalar fields, ensuring gravitational stability under linear perturbations.

Contribution

It introduces a mechanism to modify the internal structure of thick branes using two or three scalar fields, advancing the understanding of braneworld models.

Findings

Formalism for stability analysis of scalar-field generated branes

Mechanism to manipulate brane internal structure

Conditions for gravitational sector stability

Abstract

In this work we study braneworlds generated by several scalar fields. The investigation describes the necessary formalism to examine models and evaluate the conditions for the stability of the gravitational sector under linear perturbations. In particular, we develop a mechanism that help us investigate distinct situations controlled by two and by three fields, focusing on how the fields can be used to modify the internal structure of the brane.