Accelerating and rotating black holes

Details Accelerating and rotating black holes Accelerating and rotating black holes

2005-07-06

arxiv.org/abs/gr-qc/0507021v1

Class.Quant.Grav. 22 (2005) 3467-3480

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 1 figure. To appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/22/17/008

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.

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