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Global aspects of accelerating and rotating black hole spacetimes

J B Griffiths1 and J Podolský2

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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 Plebański–Demiański metric. This demonstrates the singularity and horizon structure of the sources but not that the complete spacetime 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.


PACS

04.70.-s Physics of black holes

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

04.20.Gz Spacetime topology, causal structure, spinor structure

MSC

83C75 Space-time singularities, cosmic censorship, etc.

83C50 Electromagnetic fields

83C15 Exact solutions

83C57 Black holes

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 2 (21 January 2006)

Received 24 October 2005, in final form 23 November 2005

Published 30 December 2005



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