Kerr时空中不存在闭合类时测地线
广义相对论与量子宇宙学
2024-10-29 v1 微分几何
摘要
Kerr-star时空是Kerr时空在视界之外和负径向区域的扩展。尽管在内视界下方存在闭合类时曲线，我们证明了在Kerr-star时空中，类时测地线不能是闭合的。由于作者Sanzeni在[arXiv:2308.09631v3 (2024)]中已排除了闭合类光测地线的存在，这一结果表明Kerr-star时空中不存在闭合因果测地线。
引用
@article{arxiv.2409.09094,
title = {Nonexistence of closed timelike geodesics in Kerr spacetimes},
author = {Giulio Sanzeni},
journal= {arXiv preprint arXiv:2409.09094},
year = {2024}
}
备注
Published in Journal of Mathematical Physics. Section (2) (construction of the Kerr-star spacetime) and Section (3) (geodesic motion in Kerr spacetimes) overlap with analogous sections in the Author previous work [arXiv:2308.09631v3 (2024)] (the contents are known basic facts about Kerr spacetimes)