Accelerating black holes in anti-de Sitter universe

TL;DR

This paper interprets the C-metric with negative cosmological constant as describing accelerating black holes in anti-de Sitter space, highlighting differences from the de Sitter case.

Contribution

It provides a physical interpretation of the C-metric with negative cosmological constant as accelerating black holes in anti-de Sitter space.

Findings

C-metric describes accelerating black holes in anti-de Sitter universe

Differences from de Sitter case are clarified

Coordinate system simplifies interpretation

Abstract

A physical interpretation of the C-metric with a negative cosmological constant $\Lambda$ is suggested. Using a convenient coordinate system it is demonstrated that this class of exact solutions of Einstein's equations describes uniformly accelerating (possibly charged) black holes in anti-de Sitter universe. Main differences from the analogous de Sitter case are emphasised.