Stationary black-hole binaries: A non-existence proof
arXiv:1302.0573 · doi:10.1007/978-3-319-06349-2_9
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.
20 pages, 5 figures. arXiv admin note: text overlap with arXiv:1105.5830
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