Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 41, Issue 9, Pages 2113-2130Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-009-0840-8
Keywords
Inverse scattering method; Spin-spin repulsion; Double-Kerr-NUT solution; Sub-extremal black holes
Funding
- Deutsche Forschungsgemeinschaft (DFG) through the Collaborative Research Centre [SFB/TR7]
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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-Gmez and a novel black hole criterion, we prove the non-existence of the equilibrium situation in question.
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