On the existence of smooth Cauchy steep time functions
General Relativity and Quantum Cosmology
2016-04-28 v1 Mathematical Physics
math.MP
Abstract
A simple proof is given that every globally hyperbolic spacetime admits a smooth Cauchy steep time function. This result is useful in order to show that globally hyperbolic spacetimes can be isometrically embedded in Minkowski spacetimes and that they spit as a product. The proof is based on a recent result on the differentiability of Geroch's volume functions.
Keywords
Cite
@article{arxiv.1601.05932,
title = {On the existence of smooth Cauchy steep time functions},
author = {E. Minguzzi},
journal= {arXiv preprint arXiv:1601.05932},
year = {2016}
}
Comments
Latex2e, 4 pages