New results on asymmetric thick branes

TL;DR

This paper introduces a new method for constructing asymmetric thick brane models in five-dimensional warped spacetime, demonstrating their stability and applicability to various models.

Contribution

It presents a novel approach combining two procedures to generate asymmetric thick brane solutions with a controllable asymmetry parameter.

Findings

Models are gravitationally stable under small metric perturbations.

The method applies to both standard and generalized brane models.

Asymmetry is effectively controlled by a single real parameter.

Abstract

This work deals with the presence and stability of thick brane solutions in the warped five dimensional braneworld scenario with a single extra spatial dimension of infinite extent. We combine two distinct procedures that give rise to new possibilities, allowing that we describe models of asymmetric thick branes, with the asymmetry being controlled by a single real parameter. We illustrate the main results with some distinct models, which show that the method works for both standard and generalized models, and the solutions are gravitationally stable against small perturbations of the metric.