Maximal hypersurfaces in asymptotically Anti-de Sitter spacetime
General Relativity and Quantum Cosmology
2022-08-23 v1 High Energy Physics - Theory
Differential Geometry
Abstract
We prove uniqueness, existence, and regularity results for maximal hypersurfaces in spacetimes with a conformal completion at timelike infinity and asymptotically constant scalar curvature, as relevant for asymptotically AdS spacetimes. This work is dedicated to Yvonne Choquet-Bruhat on the occasion of her upcoming 99th birthday.
Keywords
Cite
@article{arxiv.2208.09893,
title = {Maximal hypersurfaces in asymptotically Anti-de Sitter spacetime},
author = {Piotr T. Chruściel and Gregory J. Galloway},
journal= {arXiv preprint arXiv:2208.09893},
year = {2022}
}
Comments
29 pages, 3 figures