Non-existence of stationary two-black-hole configurations
General Relativity and Quantum Cosmology
2010-04-30 v3
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.
Keywords
Cite
@article{arxiv.0905.4179,
title = {Non-existence of stationary two-black-hole configurations},
author = {Gernot Neugebauer and Jörg Hennig},
journal= {arXiv preprint arXiv:0905.4179},
year = {2010}
}
Comments
15 pages, 3 figures; Contribution to Juergen Ehlers Memorial Issue (GeRG journal)