Uniformly accelerating black holes in a de Sitter universe

TL;DR

This paper analyzes exact solutions of Einstein's equations describing uniformly accelerating charged black holes in a de Sitter universe, generalizing the C-metric to include a cosmological constant and introducing a new coordinate system for interpretation.

Contribution

It introduces a new class of solutions for accelerating black holes in de Sitter space, extending the C-metric to include a cosmological constant and providing a new coordinate framework.

Findings

Solutions describe charged black holes accelerating in de Sitter space

The solutions reduce to de Sitter space when black hole parameters vanish

A new coordinate system aids in interpreting the physical meaning of the solutions

Abstract

A class of exact solutions of Einstein's equations is analysed which describes uniformly accelerating charged black holes in an asymptotically de Sitter universe. This is a generalisation of the C-metric which includes a cosmological constant. The physical interpretation of the solutions is facilitated by the introduction of a new coordinate system for de Sitter space which is adapted to accelerating observers in this background. The solutions considered reduce to this form of the de Sitter metric when the mass and charge of the black holes vanish.