On Differentiability of Volume Time Functions

Autor(en)

Piotr T. Chrusciel, James D. E. Grant, Ettore Minguzzi

Abstrakt

We show differentiability of a class of Geroch's volume functions on globally hyperbolic manifolds. Furthermore, we prove that every volume function satisfies a local anti-Lipschitz condition over causal curves, and that locally Lipschitz time functions which are locally anti-Lipschitz can be uniformly approximated by smooth time functions with timelike gradient. Finally, we prove that in stably causal space-times Hawking's time function can be uniformly approximated by smooth time functions with timelike gradient.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

University of Surrey, Università degli Studi di Firenze

Journal

Annales Henri Poincare

Band

17

Seiten

2801-2824

Anzahl der Seiten

24

ISSN

1424-0637

DOI

https://doi.org/10.1007/s00023-015-0448-3

Publikationsdatum

10-2016

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie, 103019 Mathematische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics, Statistical and Nonlinear Physics, Mathematical Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/82c68d1d-acb0-4916-b88d-9e75c1dfdd52