Exotic hyperbolic gluings
arXiv:1511.07858
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.
45 pages, 2 figures, v2: minor revisions and improvements; v3: refs updated; to appear in JDG