Exotic hyperbolic gluings
Differential Geometry
2016-08-04 v3 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1511.07858,
title = {Exotic hyperbolic gluings},
author = {P. T. Chruściel and E. Delay},
journal= {arXiv preprint arXiv:1511.07858},
year = {2016}
}
Comments
45 pages, 2 figures, v2: minor revisions and improvements; v3: refs updated; to appear in JDG