New braneworld models in the presence of auxiliary fields

TL;DR

This paper explores how auxiliary fields modify thick braneworld models within a first-order framework, revealing quantitative changes in the brane profile without introducing new qualitative effects.

Contribution

It introduces a minimal modification to Einstein's equations with auxiliary fields, analyzing its impact on braneworld configurations.

Findings

Quantitative changes in the thick brane profile due to auxiliary fields

No new qualitative effects are induced by the minimal modification

The first-order framework effectively captures the modifications in braneworld models

Abstract

We study braneworld models in the presence of auxiliary fields. We use the first-order framework to investigate several distinct possibilities, where the standard braneworld scenario changes under the presence of the parameter that controls the auxiliary fields introduced to modify Einstein's equation. The results add to previous ones, to show that the minimal modification that we investigate contributes to change quantitatively the thick braneworld profile, although no new qualitative effect is capable of being induced by the minimal modification here considered.