Exotic hyperbolic gluings
P.T.Chru\'sciel, E.Delay

TL;DR
This paper introduces a novel method for constructing non-trivial asymptotically hyperbolic initial data sets in general relativity, extending hyperbolic regions to conformal infinity through exotic gluings.
Contribution
It provides a direct construction technique for hyperbolic initial data sets using exotic gluings, advancing the understanding of asymptotically hyperbolic geometries.
Findings
Constructed non-trivial hyperbolic initial data sets
Extended hyperbolic regions to conformal infinity
Demonstrated the feasibility of exotic gluings in hyperbolic settings
Abstract
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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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum Chromodynamics and Particle Interactions
