弱区分与因果连续性的最优定义
广义相对论与量子宇宙学
2008-11-26 v3
摘要
因果连续性通常通过施加条件(i)区分性和(ii)反射性来定义。此处证明了介于弱区分和因果性之间的一种新因果性属性(称为微弱区分性)实际上可以在因果连续性的定义中取代区分性。一个中间证明表明,微弱区分性和未来(过去)反射性蕴含过去(相应地,未来)区分性。还给出了弱区分性和反射性的一些新刻画。
引用
@article{arxiv.0712.0338,
title = {Weak distinction and the optimal definition of causal continuity},
author = {E. Minguzzi},
journal= {arXiv preprint arXiv:0712.0338},
year = {2008}
}
备注
9 pages, 2 figures. v2: improved and expanded version. v3: a few misprints have been corrected and a reference has been updated