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

Physical Review D
 Pub Date:
 August 1999
 DOI:
 10.1103/PhysRevD.60.044004
 arXiv:
 arXiv:grqc/9902075
 Bibcode:
 1999PhRvD..60d4004B
 Keywords:

 04.20.Jb;
 04.30.w;
 04.70.Bw;
 Exact solutions;
 Gravitational waves: theory;
 Classical black holes;
 General Relativity and Quantum Cosmology
 EPrint:
 13 pages, 7 eps figures, submitted to Phys. Rev. D