Hawking's singularity theorem under a bounded integral norm of Ricci curvature

被引：2
|
作者：
Paeng, Seong-Hun [1 ,2 ]
机构：
[1] Konkuk Univ, Dept Math, 120 Neungdong Ro, Seoul 05029, South Korea
[2] Korea Inst Adv Study, 85 Hoegiro, Seoul 02455, South Korea
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2023年 / 183卷
关键词：
Ricci curvature; Mean curvature; Singularity theorem; DISTANCE;
D O I：
10.1016/j.geomphys.2022.104708
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In classical general relativity, the timelike convergence condition is Ric(v, v) > 0 for every timelike vector v. Hawking's singularity theorem is that the timelike convergence condition with a positive future convergence entails the future timelike incompleteness. But recent astronomical observations show that the timelike convergence condition does not hold. We prove a singularity theorem using an integral norm of Ricci curvature instead of Ric(v, v) > 0. (c) 2022 Elsevier B.V. All rights reserved.
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页数：11
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