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arXiv · 2608.20871

General relativistic three-body problem

Eliška Klimešová·Martin Žofka
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Abstract

We examine analytically the restricted 3-body problem in general relativity for a set of extremally charged black holes. We apply the method of Ferrell and Eardley, which consists in perturbing the Majumdar-Papapetrou solution that describes a static set of such black holes. We extend the method from a pair of black holes to a triplet. We compare the motion of a test particle and a small black hole in the field of a rotating black-hole binary and discover a repulsive self-force acting upon the third black hole.

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Eliška Klimešová, Martin Žofka. 2026-08-21. General relativistic three-body problem. https://doi.org/10.1103/3vyd-4jrb

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