On Lorentzian causality with continuous metrics

Autor(en)

Piotr T. Chrusciel, James Grant

Abstrakt

We present a systematic study of causality theory on Lorentzian manifolds with continuous metrics. Examples are given which show that some standard facts in smooth Lorentzian geometry, such as light-cones being hypersurfaces, are wrong when metrics which are merely continuous are considered. We show that existence of time functions remains true on domains of dependence with continuous metrics, and that $C^{1,1}$ differentiability of the metric suffices for many key results of the smooth causality theory.

Organisation(en)

Gravitationsphysik

Journal

Classical and Quantum Gravity

Band

29

Anzahl der Seiten

32

ISSN

0264-9381

DOI

https://doi.org/10.1088/0264-9381/29/14/145001

Publikationsdatum

2012

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103028 Relativitätstheorie, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/29ced5c9-d057-47ee-9220-b15e7c9fe1b7