Non-existence of stationary two-black-hole configurations
General Relativity and Quantum Cosmology
2010-06-08 v2
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.
Keywords
Cite
@article{arxiv.1002.1818,
title = {Non-existence of stationary two-black-hole configurations},
author = {Jörg Hennig and Gernot Neugebauer},
journal= {arXiv preprint arXiv:1002.1818},
year = {2010}
}
Comments
Proceedings of the 12th Marcel Grossmann Meeting (Paris, July 12-18, 2009), 3 pages