Non-existence of stationary two-black-hole configurations

Details Non-existence of stationary two-black-hole configurations Non-existence of stationary two-black-hole configurations

2009-05-26

arxiv.org/abs/0905.4179v3

Gen.Rel.Grav.41:2113-2130,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 3 figures; Contribution to Juergen Ehlers Memorial Issue (GeRG journal)

Scientific paper

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-G\'omez and a novel black hole criterion, we prove the non-existence of the equilibrium situation in question.

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