Exotic hyperbolic gluings

E.Delay; P.T.Chru\'sciel

Exotic hyperbolic gluings

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arxiv 1511.07858 v3 pith:WHF6SBVU submitted 2015-11-24 math.DG gr-qc

P.T.Chruściel , E.Delay This is my paper · ORCID

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keywords hyperbolicdataexoticgluingsinitialsetsasymptoticallycarlotto-schoen

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We carry out "exotic gluings" a la Carlotto-Schoen for asymptotically hyperbolic general relativistic initial data sets. In particular we obtain a direct construction of non-trivial initial data sets which are exactly hyperbolic in large regions extending to conformal infinity.

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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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