Accelerating and rotating black holes

TL;DR

This paper presents an exact solution to Einstein's equations describing a pair of accelerating and rotating black holes, generalizing previous models by including electromagnetic charges and a NUT parameter, and clarifies the physical interpretation of these parameters.

Contribution

It introduces a new exact solution for accelerating and rotating black holes based on the Plebanski-Demianski metric, incorporating electromagnetic charges and NUT parameter, with detailed parameter interpretation.

Findings

Derived a generalized metric for accelerating and rotating black holes.

Included electromagnetic charges and NUT parameter in the solution.

Clarified the physical meaning of all parameters.

Abstract

An exact solution of Einstein's equations which represents a pair of accelerating and rotating black holes (a generalised form of the spinning C-metric) is presented. The starting point is a form of the Plebanski-Demianski metric which, in addition to the usual parameters, explicitly includes parameters which describe the acceleration and angular velocity of the sources. This is transformed to a form which explicitly contains the known special cases for either rotating or accelerating black holes. Electromagnetic charges and a NUT parameter are included, the relation between the NUT parameter $l$ and the Plebanski-Demianski parameter $n$ is given, and the physical meaning of all parameters is clarified. The possibility of finding an accelerating NUT solution is also discussed.