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Non-existence of stationary two-black-hole configurations: The degenerate case

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arxiv 1103.5248 v1 pith:72IK6TKE submitted 2011-03-27 gr-qc

classification gr-qc
keywords blacknon-existenceholesquestionablealignedattractionbalance
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In a preceding paper we examined the question whether the spin-spin repulsion and the gravitational attraction of two aligned sub-extremal black holes can balance each other. Based on the solution of a boundary value problem for two separate (Killing-) horizons and a novel black hole criterion we were able to prove the non-existence of the equilibrium configuration in question. In this paper we extend the non-existence proof to extremal black holes.

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Cited by 1 Pith paper

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  1. Spinning generalizations of Majumdar-Papapetrou multi-black hole spacetimes: light rings, lensing and shadows

    gr-qc 2025-02 conditional novelty 6.0 of 10

    For the Teo-Wan two-black-hole spacetime, light rings merge and annihilate in pairs, giving total counts of 4, 6, or 8, and the shadows mimic double-Kerr.

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