关于洛伦兹长度空间的因果层级
广义相对论与量子宇宙学
2020-10-16 v2
摘要
在本工作中，我们给出了在洛伦兹长度空间背景下时空经典因果阶梯上层级的完整描述，从而确立了它们之间的层级关系。我们还证明了全局双曲性、因果简单性、因果连续性、稳定因果性和强因果性在距离同伦变换下保持不变。
引用
@article{arxiv.2003.03451,
title = {On the causal hierarchy of Lorentzian length spaces},
author = {L. Ake Hau and Armando J. Cabrera Pacheco and Didier A. Solis},
journal= {arXiv preprint arXiv:2003.03451},
year = {2020}
}
备注
The notion of weakly locally causally closed sets has been introduced. Other details brought to our attention by the referees have been addressed. See the accepted version by Classical and Quantum Gravity for the latest changes (https://doi.org/10.1088/1361-6382/abb25f)