Internal structure of cuscuton Bloch brane

TL;DR

This paper explores how incorporating the cuscuton field into thick brane models affects their internal structure and geometry, revealing new behaviors and stable analytical solutions in both standard and asymmetric Bloch branes.

Contribution

It introduces the cuscuton field into two-field thick brane models, demonstrating its impact on internal structure, geometry, and stability, with analytical solutions found for various configurations.

Findings

Branes develop a richer internal structure due to the cuscuton.

The warp factor and energy density are significantly modified by the cuscuton.

Models with cuscuton support stable analytical solutions.

Abstract

This work deals with thick branes in bulk with a single extra dimension modeled by a two-field configuration. We first consider the inclusion of the cuscuton to also control the dynamics of one of the fields and investigate how it contributes to change the internal structure of the configuration in two distinct situations, with the standard and the asymmetric Bloch brane. The results show that the branes get a rich internal structure, with the geometry presenting a novel behavior which is also governed by the parameter that controls the strength of the cuscuton term. We also study the case where the dynamics of one of the two fields is only described by the cuscuton. All the models support analytical solutions which are stable against fluctuations in the metric, and the main results unveil significant modifications in the warp factor and energy density of the branes.