Spinning C metric: Radiative spacetime with accelerating, rotating black holes

J. Bičák and V. Pravda
Phys. Rev. D 60, 044004 – Published 8 July 1999
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Abstract

The spinning C metric was discovered by Plebański and Demiański as a generalization of the standard C metric which is known to represent uniformly accelerated nonrotating black holes. We first transform the spinning C metric into Weyl coordinates and analyze some of its properties as Killing vectors and curvature invariants. A transformation is then found which brings the metric into the canonical form of radiative spacetimes with boost-rotation symmetry. By analytically continuing the metric across “acceleration horizons,” two new regions of spacetime arise in which both Killing vectors are spacelike. We show that this metric can represent two uniformly accelerated, spinning black holes, either connected by a conical singularity, or with conical singularities extending from each of them to infinity. The radiative character of the metric is briefly discussed.

  • Received 5 February 1999

DOI:https://doi.org/10.1103/PhysRevD.60.044004

©1999 American Physical Society

Authors & Affiliations

J. Bičák*

  • Department of Theoretical Physics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 180 00 Prague 8, Czech Republic

V. Pravda

  • Mathematical Institute, Academy of Sciences, Žitná 25, 115 67 Prague 1, Czech Republic

  • *Email address: bicak@mbox.troja.mff.cuni.cz
  • Email address: pravda@math.cas.cz

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Vol. 60, Iss. 4 — 15 August 1999

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