关于非陷阱曲面的拓扑
On the topology of untrapped surfaces
摘要：
最近，\cite{rnew}给出了Hawking黑洞拓扑定理的推广及其在高维拓扑黑洞（$n\geq 4$）中的应用的一个简单证明.通过应用相关的新的论证路线，它在这里被证明，严格稳定的untrapped表面确实具有严格稳定的边际外捕获表面（MOTS）是已知的具有完全相同的拓扑性质。此外，一个准本地的概念向外和向内指向类空方向-适用于未捕获和边际捕获表面-也被引入。
英文摘要：
Recently a simple proof of the generalizations of Hawking's black hole topology theorem and its application to topological black holes for higher dimensional ($n\geq 4$) spacetimes was given \cite{rnew}. By applying the associated new line of argument it is proven here that strictly stable untrapped surfaces do possess exactly the same topological properties as strictly stable marginally outer trapped surfaces (MOTSs) are known to have. In addition, a quasi-local notion of outwards and inwards pointing spacelike directions--applicable to untrapped and marginally trapped surfaces--is also introduced.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
