Special temporal functions on globally hyperbolic manifolds
Differential Geometry
2016-05-20 v4 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
In this article, existence results concerning temporal functions with additional properties on a globally hyperbolic manifold are obtained. These properties are certain bounds on geometric quantities as lapse and shift. The results are linked to completeness properties and the existence of closed isometric embeddings in Minkowski spaces.
Cite
@article{arxiv.0904.1599,
title = {Special temporal functions on globally hyperbolic manifolds},
author = {Olaf Müller},
journal= {arXiv preprint arXiv:0904.1599},
year = {2016}
}
Comments
14 pages, no figures