Non-existence of stationary two-black-hole configurations

Hennig, Jörg; Neugebauer, Gernot

doi:10.1142/9789814374552_0317

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Non-existence of stationary two-black-hole configurations

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Hennig, Jörg
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1002.1818
(Preprint), 82KB

9789814374552_0317.pdf
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Citation

Hennig, J., & Neugebauer, G. (2012). Non-existence of stationary two-black-hole configurations. In T. Damour, & R. T. Jantzen (Eds.), The Twelfth Marcel Grossmann Meeting on General Relativity (pp. 1756-1758). Singapore: World Scientific.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-658D-B

Abstract

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.