Research Article

General Relativity and Gravitation

, Volume 41, Issue 9, pp 2113-2130

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Non-existence of stationary two-black-hole configurations

  • Gernot NeugebauerAffiliated withTheoretisch-Physikalisches Institut, Friedrich-Schiller-Universität
  • , Jörg HennigAffiliated withMax-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut Email author 


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