Thick brane models in generalized theories of gravity

TL;DR

This paper explores thick brane models within generalized gravity theories, incorporating additional Ricci scalar and energy-momentum trace terms, demonstrating stability and analyzing modifications to brane profiles.

Contribution

It introduces a new class of thick brane models in modified gravity with stability analysis and explicit examples of how the brane structure is affected.

Findings

Gravity sector is linearly stable in the new models

Brane profiles are significantly altered by the additional terms

Explicit models illustrate the impact of modifications

Abstract

This work deals with thick braneworld models, in an environment where the Ricci scalar is changed to accommodate the addition of two extra terms, one depending on the Ricci scalar itself, and the other, which takes into account the trace of the energy-momentum tensor of the scalar field that sources the braneworld scenario. We suppose that the scalar field engenders standard kinematics, and we show explicitly that the gravity sector of this new braneworld scenario is linearly stable. We illustrate the general results investigating two distinct models, focusing on how the brane profile is changed in the modified theories.