Stationary black-hole binaries: A non-existence proof
General Relativity and Quantum Cosmology
2014-06-24 v2
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. Based on the solution of a boundary problem for disconnected (Killing) horizons and the resulting violation of characteristic black hole properties, we present a non-existence proof for the equilibrium configuration in question. From a mathematical point of view, this result is a further example for the efficiency of the inverse ("scattering") method in non-linear theories.
Keywords
Cite
@article{arxiv.1302.0573,
title = {Stationary black-hole binaries: A non-existence proof},
author = {Gernot Neugebauer and Jörg Hennig},
journal= {arXiv preprint arXiv:1302.0573},
year = {2014}
}
Comments
20 pages, 5 figures. arXiv admin note: text overlap with arXiv:1105.5830