New brane-like solutions in modified four-dimensional Einstein-Gauss-Bonnet gravity

TL;DR

This paper explores new brane-like solutions in a modified four-dimensional Einstein-Gauss-Bonnet gravity, demonstrating the existence of thick brane configurations supported by scalar fields in both original and regularized theories.

Contribution

It introduces novel thick brane solutions in 4D Einstein-Gauss-Bonnet gravity with scalar field sources, valid in both the original and regularized formulations.

Findings

Existence of thick brane solutions supported by scalar fields.

Solutions are valid in both original and regularized 4D EGB theories.

Configurations exhibit controllable thickness.

Abstract

We investigate solutions of a new $4D$ Einstein-Gauss-Bonnet gravity ($4D$ $EGB$). We first describe the bulk vacuum solution, then we add a massive probe scalar field, and we follow considering a self-interacting scalar field which acts as a source to support thick brane solutions in the four-dimensional $EGB$ scenario with a single extra dimension of infinite extent. We illustrate our results with some distinct brane-like configurations engendering controllable thickness. It is noteworthy that such configurations are simultaneous solutions in both versions of the modified theory of gravity, the original Glavan and Lin formulation and the regularized $4D$ $EGB$.