Stationary two-black-hole configurations: A non-existence proof

Details Stationary two-black-hole configurations: A non-existence proof Stationary two-black-hole configurations: A non-existence proof

2011-05-29

arxiv.org/abs/1105.5830v1

J. Geom. Phys. 62, 613 (2012)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, 1 figure

Scientific paper

10.1016/j.geomphys.2011.05.008

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 equilibrium configurations consisting of two aligned rotating black holes. Our discussion is principally aimed at developing the ideas of the proof and summarizing the results of two preceding papers (Neugebauer and Hennig, 2009 [29], Hennig and Neugebauer, 2011 [12]). From a mathematical point of view, this paper is a further example (Meinel et al., 2008 [22]) for the application of the inverse ("scattering") method to a non-linear elliptic differential equation.

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