Schwarzschild black hole levitating in the hyperextreme Kerr field

Details Schwarzschild black hole levitating in the hyperextreme Kerr field Schwarzschild black hole levitating in the hyperextreme Kerr field

2009-10-02

arxiv.org/abs/0910.0335v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 1 figure

Scientific paper

The equilibrium configurations between a Schwarzschild black hole and a hyperextreme Kerr object are shown to be described by a three-parameter subfamily of the extended double-Kerr solution. For this subfamily, its Ernst potential and corresponding metric functions, we provide a physical representation which employs as arbitrary parameters the individual Komar masses and relative coordinate distance between the sources. The calculation of horizon's local angular velocity induced in the Schwarzschild black hole by the Kerr constituent yields a simple expression inversely proportional to the square of the distance parameter.

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