General Relativity and Gravitation

, Volume 41, Issue 9, pp 2113–2130

Non-existence of stationary two-black-hole configurations

Authors

  • Gernot Neugebauer
    • Theoretisch-Physikalisches InstitutFriedrich-Schiller-Universität
    • Max-Planck-Institut für GravitationsphysikAlbert-Einstein-Institut

DOI: 10.1007/s10714-009-0840-8

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-Gómez and a novel black hole criterion, we prove the non-existence of the equilibrium situation in question.

Keywords

Inverse scattering method Spin-spin repulsion Double-Kerr-NUT solution Sub-extremal black holes

Acknowledgments

We would like to thank Marcus Ansorg and David Petroff for many valuable discussions. This work was supported by the Deutsche Forschungsgemeinschaft (DFG) through the Collaborative Research Centre SFB/TR7 “Gravitational wave astronomy”.

Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

Copyright information

© The Author(s) 2009