Global aspects of accelerating and rotating black hole space-times

TL;DR

This paper analyzes the global structure of accelerating and rotating black hole solutions, clarifying their causal and horizon properties through metric transformations.

Contribution

It demonstrates the complete spacetime structure of accelerating and rotating black holes using metric transformations, revealing their causal separation.

Findings

The solutions describe two causally separated black holes.

The metric can be transformed to reveal global properties.

The physical interpretation of these solutions is clarified.

Abstract

The complete family of exact solutions representing accelerating and rotating black holes with possible electromagnetic charges and a NUT parameter is known in terms of a modified Plebanski-Demianski metric. This demonstrates the singularity and horizon structure of the sources but not that the complete space-time describes two causally separated black holes. To demonstrate this property, the metric is first cast in the Weyl-Lewis-Papapetrou form. After extending this up to the acceleration horizon, it is then transformed to the boost-rotation-symmetric form in which the global properties of the solution are manifest. The physical interpretation of these solutions is thus clarified.