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Asymptotic gluing of asymptotically hyperbolic solutions to the Einstein constraint equations

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arxiv 0910.1875 v1 pith:5HJLUD6B submitted 2009-10-09 math.DG gr-qc

James Isenberg , John M. Lee , Iva Stavrov Allen This is my paper · ORCID
classification math.DGgr-qc
keywords asymptoticasymptoticallyconstrainteinsteinequationshyperbolicsolutionsconnected
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We show that asymptotically hyperbolic solutions of the Einstein constraint equations with constant mean curvature can be glued in such a way that their asymptotic regions are connected.

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  1. Hyperbolic Mass in 2+1 Dimensions

    gr-qc 2025-08 unverdicted novelty 1.0 of 10

    Mass in asymptotically locally hyperbolic 2+1 gravity is a minimised functional, not a single conserved number, and gluing theorems can construct initial data realising every mass aspect function.

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