Non-existence of stationary two-black-hole configurations

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.

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

References in corpus (6)

• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Extremality conditions for isolated and dynamical horizons
• The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
• The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory: study in terms of soliton methods
• Negative Komar Mass of Single Objects in Regular, Asymptotically Flat Spacetimes
• On Static n-body Configurations in Relativity

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