Maximizers in Lipschitz spacetimes are either timelike or null

作者：Graf Melanie^*; Ling Eric

来源：Classical and Quantum Gravity, 2018, 35(8): 087001.

DOI：10.1088/1361-6382/aab259

• low regularity
• causal theory
• inextendibility of spacetimes

We prove that causal maximizers in C-0,C-1 spacetimes are either timelike or null. This question was posed in Samann and Steinbauer (2017 arXiv:1710.10887) since bubbling regions in C-0,C-alpha spacetimes (alpha < 1) can produce causal maximizers that contain a segment which is timelike and a segment which is null, see Chrusciel and Grant (2012 Class. Quantum Grav. 29 145001). While C-0,C-1 spacetimes do not produce bubbling regions, the causal character of maximizers for spacetimes with regularity at least C-0,C-1 but less than C-1,C-1 was unknown until now. As an application we show that timelike geodesically complete spacetimes are C-0,C-1-inextendible.

• 出版日期2018-4-26