Brane structure from a scalar field in general covariant Horava-Lifshitz gravity

TL;DR

This paper explores thick brane solutions within non-projectable Horava-Lifshitz gravity, using a scalar field to derive first-order equations and analyze brane structures similar to dilatonic and Randall-Sundrum models.

Contribution

It introduces a method to obtain first-order equations for brane structures in non-projectable Horava-Lifshitz gravity with a scalar field, extending previous models.

Findings

Derived first-order differential equations for brane configurations.

Constructed thick brane solutions of dilatonic and Randall-Sundrum types.

Demonstrated the applicability of scalar fields in modeling brane structures in this gravity framework.

Abstract

In this paper we have considered the structure of the non-projectable Horava-Melby-Thompson (HMT) gravity to find braneworld scenarios. A relativistic scalar field is considered in the matter sector and we have shown how to reduce the equations of motion to first-order differential equations. In particular, we have studied thick brane solutions of both the dilatonic and Randall-Sundrum types.