Non-existence of stationary two-black-hole configurations

Details Non-existence of stationary two-black-hole configurations Non-existence of stationary two-black-hole configurations

2010-02-09

arxiv.org/abs/1002.1818v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Proceedings of the 12th Marcel Grossmann Meeting (Paris, July 12-18, 2009), 3 pages

Scientific paper

We resume former discussions of the question, whether the spin-spin repulsion and the gravitational attraction of two aligned sub-extremal black holes can balance each other. To answer the question we formulate a boundary value problem for two separate (Killing-) horizons and apply the inverse (scattering) method to solve it. Making use of a universal inequality between angular momentum and horizon area that has to be satisfied by every sub-extremal black hole, we prove the non-existence of the equilibrium situation in question.

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