Thick brane models in generalized mimetic gravity

TL;DR

This paper explores thick brane models within generalized mimetic gravity, deriving solutions and analyzing stability to understand their physical properties and viability.

Contribution

It introduces a framework for thick brane models in generalized mimetic gravity and provides exact solutions along with stability analysis.

Findings

Obtained exact kink-like brane solutions.

Confirmed linear stability of the gravitational sector.

Analyzed properties of the brane configurations.

Abstract

In this work, we investigate braneworld models in mimetic gravity, with the source field having generalized dynamics. We present the mathematical description necessary to study the generalized model and consider the first-order formalism to solve the equations of motion. We also investigate the linear stability of the gravitational sector to verify that the model is stable. In particular, we consider two specific situations where we were able to get exact solutions with a kink-like profile and calculate several important properties of the brane.