Equilibrium Configuration of Black Holes and the Inverse Scattering Method

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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.
LaTeX, 14 pages, no figures

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/198202

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0004073
 http://arxiv.org/abs/gr-qc/0004073
 Theor.Math.Phys.111:667,1997; Teor.Mat.Fiz.111:345-355,1997
 doi:10.1007/BF02634055

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arXiv