Inextendibility of spacetimes and Lorentzian length spaces

Autor(en)

James D. E. Grant, Michael Kunzinger, Clemens Sämann

Abstrakt

We study the low-regularity (in-)extendibility of spacetimes within the synthetic-geometric framework of Lorentzian length spaces developed in Kunzinger and Sämann (Ann Glob Anal Geom 54(3):399–447, 2018). To this end, we introduce appropriate notions of geodesics and timelike geodesic completeness and prove a general inextendibility result. Our results shed new light on recent analytic work in this direction and, for the first time, relate low-regularity inextendibility to (synthetic) curvature blow-up.

Organisation(en)

Institut für Mathematik

Journal

Annals of Global Analysis and Geometry

Band

55

Seiten

133-147

Anzahl der Seiten

15

ISSN

0232-704X

DOI

https://doi.org/10.1007/s10455-018-9637-x

Publikationsdatum

02-2019

Peer-reviewed

Ja

ÖFOS 2012

101006 Differentialgeometrie, 103028 Relativitätstheorie

Schlagwörter

ASJC Scopus Sachgebiete

Analysis, Geometry and Topology, Political Science and International Relations

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/7cddcc07-c8e1-49c7-81b7-7fcabefa78da