Inextendibility of spacetimes and Lorentzian length spaces

被引：24

作者：

Grant, James D. E. ^{[1
]}

Kunzinger, Michael ^{[2
]}

Saemann, Clemens ^{[2
]}

机构：

[1] Univ Surrey, Dept Math, Guildford, Surrey, England

[2] Univ Vienna, Fac Math, Vienna, Austria

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2019年 / 55卷 / 01期

基金：

奥地利科学基金会;

关键词：

Length spaces; Lorentzian length spaces; Causality theory; Synthetic curvature bounds; Triangle comparison; Metric geometry; Inextendibility; METRIC-MEASURE-SPACES; TIME; REGULARITY; CURVATURE; THEOREM; CAUSAL;

D O I：

10.1007/s10455-018-9637-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the low-regularity (in-)extendibility of spacetimes within the synthetic-geometric framework of Lorentzian length spaces developed in Kunzinger and Samann (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.

引用

页码：133 / 147

页数：15