Exact solution for the simplest binary system of Kerr black holes

Details Exact solution for the simplest binary system of Kerr black holes Exact solution for the simplest binary system of Kerr black holes

2008-09-14

arxiv.org/abs/0809.2422v2

Phys.Rev.D78:124014,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 1 figure, typos corrected, a footnote on p.6 extended

Scientific paper

10.1103/PhysRevD.78.124014

The full metric describing two counter-rotating identical Kerr black holes separated by a massless strut is derived in the explicit analytical form. It contains three arbitrary parameters which are the Komar mass M, Komar angular momentum per unit mass a of one of the black holes (the other has the same mass and equal but opposite angular momentum) and the coordinate distance R between the centers of the horizons. In the limit of extreme black holes, the metric becomes a special member of the Kinnersly-Chitre five-parameter family of vacuum solutions generalizing the Tomimatsu-Sato delta=2 spacetime, and we present the complete set of metrical fields defining this limit.

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