Non-existence of stationary two-black-hole configurations

Neugebauer, Gernot; Hennig, Jörg

doi:10.1007/s10714-009-0840-8

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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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0905.4179v2.pdf
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Citation

Neugebauer, G., & Hennig, J. (2009). Non-existence of stationary two-black-hole configurations. General Relativity and Gravitation, 41, 2113-2130. doi:10.1007/s10714-009-0840-8.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4622-4

Abstract

We resume former discussions of the question, whether the spin-spin repulsion and the gravitational attraction of two aligned 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 results of Manko, Ruiz and Sanabria-G\'omez and a novel black hole criterion, we prove the non-existence of the equilibrium situation in question.