# Generalized Born-Infeld-like models for kinks and branes

## TL;DR

This paper introduces a generalized non-canonical scalar field model that supports defect structures and thick branes with twinlike properties, analyzing their stability and gravitational fluctuations in two and five dimensions.

## Contribution

It develops a generalized Born-Infeld-like scalar field model that supports twin defect solutions and stable thick branes in higher dimensions.

## Key findings

- The model supports twin defect structures with identical energy densities.
- The stability of defect solutions can be achieved through specific modifications.
- Thick branes constructed exhibit stable tensorial gravitational fluctuations.

## Abstract

In this work we deal with a non-canonical scalar field in the two-dimensional spacetime. We search for a generalized model that is twin of the standard model, supporting the same defect structure with the same energy density. We also study the stability of the defect solution under small fluctuations, which is governed by a Sturm-Liouville equation, and show how to make it stable. The model is then modified and used in the five-dimensional spacetime to construct a thick brane that engenders the first order framework and preserves the twinlike behavior, under tensorial fluctuations of the metric in its gravitational sector.