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.
CITATION STYLE
Neugebauer, G., & Hennig, J. (2014). Stationary Black-Hole Binaries: A Non-existence Proof. In General Relativity, Cosmology and Astrophysics (pp. 209–228). Springer International Publishing. https://doi.org/10.1007/978-3-319-06349-2_9
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