On "many black hole" space-times

Abstract

We analyze the horizon structure of families of space times obtained by evolving initial data sets containing apparent horizons with several connected components. We show that under certain smallness conditions the outermost apparent horizons will also have several connected components. We further show that, again under a smallness condition, the maximal globally hyperbolic development of the many black hole initial data constructed by Chrusciel and Delay, or of hyperboloidal data of Isenberg, Mazzeo and Pollack, will have an event horizon, the intersection of which with the initial data hypersurface is not connected. This justifies the "many black hole" character of those space-times.

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Cited by in corpus (13)

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• Density and positive mass theorems for initial data sets with boundary
• Singular integral operators on non-compact manifolds and analysis on polyhedral domains
• The characteristic gluing problem for the Einstein equations and applications
• Topological censorship in spacetimes compatible with $\Lambda >0$
• Linearization stability results and active measurements for the Einstein-scalar field equations
• A counterexample to a Penrose inequality conjectured by Gibbons
• The Pohozaev-Schoen Identity on Asymptotically Euclidean Manifolds: Conservation Identities and their applications
• Sobolev spaces for multi-black hole initial data