General Relativity and Gravitation

, Volume 41, Issue 9, pp 2113–2130

Non-existence of stationary two-black-hole configurations

Open Access
Research Article

DOI: 10.1007/s10714-009-0840-8

Cite this article as:
Neugebauer, G. & Hennig, J. Gen Relativ Gravit (2009) 41: 2113. doi:10.1007/s10714-009-0840-8


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.


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

Copyright information

© The Author(s) 2009

Authors and Affiliations

  1. 1.Theoretisch-Physikalisches InstitutFriedrich-Schiller-UniversitätJenaGermany
  2. 2.Max-Planck-Institut für GravitationsphysikAlbert-Einstein-InstitutPotsdamGermany

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