Kink-antikink, trapping bags and five-dimensional Gauss-Bonnet gravity

TL;DR

This paper explores solutions in five-dimensional Gauss-Bonnet gravity with a warped extra dimension, focusing on kink-antikink and trapping bag configurations of scalar fields, revealing their geometric properties and interpretations.

Contribution

It introduces and analyzes new classes of solutions involving scalar field configurations in five-dimensional Gauss-Bonnet gravity with warped geometry.

Findings

Kink-antikink systems interpreted as gravitating domain walls.

Trapping bag solutions combine domain walls with non-topological defects.

Far from defects, the geometry approaches five-dimensional anti-de Sitter space.

Abstract

Five-dimensional Gauss-Bonnet gravity, with one warped extra-dimension, allows classes of solutions where two scalar fields combine either in a kink-antikink system or in a trapping bag configuration. While the kink-antikink system can be interpreted as a pair of gravitating domain walls with opposite topological charges, the trapping bag solution consists of a domain wall supplemented by a non-topological defect. In both classes of solutions, for large absolute values of the bulk coordinate (i.e. far from the core of the defects), the geometry is given by five-dimensional anti-de Sitter space.