Anisotropic domain walls

TL;DR

This paper presents a new class of anisotropic, non-supersymmetric domain wall solutions in supergravity, highlighting their properties, stability issues, and differences from isotropic solutions.

Contribution

It introduces an anisotropic, non-supersymmetric generalization of known supersymmetric domain walls with unique topological and stability characteristics.

Findings

The anisotropic non-extreme wall shares the same topology as the extreme wall.

Naked singularities appear in the solutions but vanish in the extreme limit.

The solutions are generally unstable due to Hawking decay caused by temperature differences.

Abstract

We find an anisotropic, non-supersymmetric generalization of the extreme supersymmetric domain walls of simple non-dilatonic supergravity theory. As opposed to the isotropic non- and ultra-extreme domain walls, the anisotropic non-extreme wall has the \emph{same} spatial topology as the extreme wall. The solution has naked singularities which vanish in the extreme limit. Since the Hawking temperature on the two sides is different, the generic solution is unstable to Hawking decay.