De Sitter and double irregular domain walls

TL;DR

This paper introduces a new method for constructing thick domain wall solutions in Einstein-scalar field systems, enabling the creation of irregular geometries with de Sitter expansion and double kink structures embedded in AdS spacetime.

Contribution

The authors present a novel approach to generate irregular thick domain walls from known solutions, including double kink configurations in AdS, with potential applications in cosmology and brane-world models.

Findings

Constructed irregular de Sitter domain walls.

Derived double kink solutions in AdS spacetime.

Demonstrated the use of fake superpotential for double branes.

Abstract

A new method to obtain thick domain wall solutions to the coupled Einstein scalar field system is presented. The procedure allows the construction of irregular walls from well known ones, such that the spacetime associated to them are physically different. As consequence of the approach, we obtain two irregular geometries corresponding to thick domain walls with $dS$ expansion and topological double kink embedded in $AdS$ spacetime. In particular, the double brane can be derived from a fake superpotential.