引力 pp-波时空的因果性：安德森刚性定理的空版本
On the causality of gravitational pp-wave spacetimes: A null version of Anderson's rigidity theorem
浏览论文内容
中文总结 AI 辅助
本文证明平面波是唯一区分且强因果的引力 pp-波时空，并据此证明安德森刚性定理的空版本：满足完备性与强因果等条件的 4 维 Ricci 平坦 Brinkmann 时空必为平面波时空的商。
中文摘要 AI 辅助
我们证明平面波是唯一具有区分性的引力 pp-波时空；特别是，它们是唯一强因果的。这被用来证明 Costa e Silva 和 Flores 所推测的安德森刚性定理的空版本：每一个测地完备、横向完备、强因果、Ricci 平坦的 4 维 Brinkmann 时空都等距于平面波时空的商空间。
英文摘要
We prove that plane waves are the only gravitational pp-wave spacetimes which are distinguishing; in particular, they are the only strongly causal ones. This is used to prove a null version of Anderson's rigidity theorem, conjectured by Costa e Silva and Flores: every geodesically complete, transversally complete, strongly causal, Ricci-flat Brinkmann spacetime of dimension $4$ is isometric to a quotient of a plane wave spacetime.
