A method for obtaining thick branes models

TL;DR

This paper introduces a new method for constructing thick brane models in braneworld scenarios, simplifying field equations and enabling features like split branes and asymmetric warp factors to address hierarchy issues.

Contribution

The paper proposes a novel class of braneworld models with a decomposable superpotential, simplifying the field equations and extending existing superpotential models.

Findings

Models exhibit split brane mechanism

Warp factors can be asymmetric

Addresses hierarchy problem in thick branes

Abstract

In this work we present a new class of braneworld models, where the superpotential function may be decomposed in a very specific form, but still embracing, which allows considerable simplifications in the field equations. We exemplify the method with two specific models that are extended versions of superpotentials already considered in the literature. As one can see in the examples, the braneworld scenarios obtained here present very interesting features, such as split brane mechanism and asymmetric warp factor shape, which is essential to address the hierarchy problem in the context of thick brane scenarios.