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arXiv · 0809.2422

Exact solution for the simplest binary system of Kerr black holes

V. S. Manko·E. D. Rodchenko·E. Ruiz·B. I. Sadovnikov
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Abstract

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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V. S. Manko, E. D. Rodchenko, E. Ruiz, B. I. Sadovnikov. 2008-10-13. Exact solution for the simplest binary system of Kerr black holes. https://doi.org/10.1103/physrevd.78.124014

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