Existence of singularities in two-Kerr black holes

Abstract

We show that the angular momentum - area inequality 8π|J| =< A for weakly stable minimal surfaces would apply to (I^+)-regular many-Kerr solutions, if any existed. Hence we remove the undesirable hypothesis in the Hennig-Neugebauer proof of non-existence of well behaved two-component solutions.

minor rewordings, a reference added, version identical to the one published in CQG

References in corpus (4)

• The area of horizons and the trapped region
• Mass and angular-momentum inequalities for axi-symmetric initial data sets I. Positivity of mass
• Topological censorship for Kaluza-Klein space-times
• The Positive Mass and Isoperimetric Inequalities for Axisymmetric Black Holes in four and five dimensions

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• On the shape of rotating black-holes
• Moduli space of stationary vacuum black holes from integrability
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• Particle hanging on a string near a Schwarzschild black hole
• Avenues for Analytic exploration in Axisymmetric Spacetimes. Foundations and the Triad Formalism
• Stationary black-hole binaries: A non-existence proof
• Axis potentials for stationary $n$-black-hole configurations
• Metric of two balancing Kerr particles in physical parametrization
• Degenerating Black Saturns
• Soliton methods and the black hole balance problem