Non-Extreme and Ultra-Extreme Domain Walls and Their Global Space-Times

TL;DR

This paper explores various types of domain walls in space-time, analyzing their properties, causal structures, and differences from extreme cases, with implications for understanding vacuum decay and black hole analogies.

Contribution

It introduces a detailed analysis of non-extreme and ultra-extreme domain walls, highlighting their causal structures and singularity-free space-times, expanding the understanding of vacuum bubbles beyond extreme solutions.

Findings

Non-extreme walls have higher energy densities than extreme walls.

Ultra-extreme walls are associated with false vacuum decay.

These space-times exhibit causal structures similar to non-extreme black holes.

Abstract

Non-extreme walls (bubbles with two insides) and ultra-extreme walls (bubbles of false vacuum decay) are discussed. Their respective energy densities are higher and lower than that of the corresponding extreme (supersymmetric), planar domain wall. These singularity free space-times exhibit non-trivial causal structure analogous to certain non-extreme black holes. We focus on anti-de~Sitter--Minkowski walls and comment on Minkowski--Minkowski walls with trivial extreme limit, as well as walls adjacent to de~Sitter space-times with no extreme limit.