1304.5797 (Miguel Sánchez)

A note on stability and Cauchy time functions    [PDF]

Miguel Sánchez

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, among them the recent references arXiv:1108.5120v3 and arXiv:1301.2909v1 . Here we supply some information that completes the one provided in these two papers 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.

View original: http://arxiv.org/abs/1304.5797