Bubbles in Anti-de Sitter Space

TL;DR

This paper investigates bubble spacetimes derived from analytic continuations of black holes in anti-de Sitter space, revealing dimension-dependent topologies and connections to de Sitter black holes, with implications for spacetime evolution.

Contribution

It systematically analyzes how different black hole geometries in AdS space produce bubble spacetimes with varied topologies and dimensions, expanding understanding of their properties.

Findings

Rotating black holes with elliptic horizons produce bubbles only in dimensions >5.

Bubbles from rotating de Sitter black holes occur in 4 dimensions.

Higher-dimensional bubbles can have non-spherical topologies.

Abstract

We explore the bubble spacetimes which can be obtained from double analytic continuations of static and rotating black holes in anti-de Sitter space. In particular, we find that rotating black holes with elliptic horizon lead to bubble spacetimes only in dimension greater than five. For dimension greater than seven, the topology of the bubble can be non-spherical. However, a bubble spacetime is shown to arise from a rotating de Sitter black hole in four dimensions. In all cases, the evolution of the bubble is of de Sitter type. Double analytic continuations of hyperbolic black holes and branes are also discussed.