A note on stability and Cauchy time functions
General Relativity and Quantum Cosmology
2018-08-16 v3
Abstract
Since the solution of the so-called folk problems of smoothability, there has been a special interest in the properties of classical time and volume functions of spacetimes. Here we supply some information that complements the one provided in arXiv:1108.5120v3 and arXiv:1301.2909v1, and discuss some results. As an illustration, we show that any Cauchy temporal function for a globally hyperbolic spacetime remains Cauchy temporal for close metrics ---which, in particular, implies stability for global hyperbolicity.
Keywords
Cite
@article{arxiv.1304.5797,
title = {A note on stability and Cauchy time functions},
author = {Miguel Sánchez},
journal= {arXiv preprint arXiv:1304.5797},
year = {2018}
}
Comments
This note has been withdrawn because its contents have been included and expanded in arXiv:1808.04412 [gr-qc]