Equilibrium Configuration of Black Holes and the Inverse Scattering Method

Details Equilibrium Configuration of Black Holes and the Inverse Scattering Method Equilibrium Configuration of Black Holes and the Inverse Scattering Method

2000-04-24

arxiv.org/abs/gr-qc/0004073v1

Theor.Math.Phys.111:667,1997; Teor.Mat.Fiz.111:345-355,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 14 pages, no figures

Scientific paper

10.1007/BF02634055

The inverse scattering method is applied to the investigation of the equilibrium configuration of black holes. A study of the boundary problem corresponding to this configuration shows that any axially symmetric, stationary solution of the Einstein equations with disconnected event horizon must belong to the class of Belinskii-Zakharov solutions. Relationships between the angular momenta and angular velocities of black holes are derived.

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