Kerr 时空中闭且有界零测地线的不存在性
微分几何
2025-04-28 v3 广义相对论与量子宇宙学
数学物理
math.MP
摘要
Kerr-star 时空是慢转 Kerr 黑洞在视界之上及负径向区域的延拓。已知在内视界之下，存在类时和零（类光）闭曲线。然而，我们证明零测地线既不能闭合，甚至也不能包含于 Kerr-star 时空的紧子集之中。
引用
@article{arxiv.2308.09631,
title = {Non existence of closed and bounded null geodesics in Kerr spacetimes},
author = {Giulio Sanzeni},
journal= {arXiv preprint arXiv:2308.09631},
year = {2025}
}
备注
We extend the previous result ("non existence of closed null geodesics in Kerr spacetimes") proving that the null geodesics cannot be contained in a compact subset of the Kerr-star spacetime