零世界线的Frenet-Serret形式
Frenet-Serret formalism for null world lines
摘要：
利用Newman-Penrose形式主义，将Frenet-Serret曲线分析从一般时空中的非零轨迹扩展到零轨迹，恢复了不为人所知的旧结果，并澄清了文献中尚未探索的费米-沃克输运。这个机器然后被用来讨论零圆轨道在静止的轴对称时空使用克尔时空作为一个具体的例子，并集成在任何时空中沿零测地线的平行输运方程。
英文摘要：
The Frenet-Serret curve analysis is extended from nonnull to null trajectories in a generic spacetime using the Newman-Penrose formalism, recovering old results which are not well known and clarifying the associated Fermi-Walker transport which has been left largely unexplored in the literature. This machinery is then used to discuss null circular orbits in stationary axisymmetric spacetimes using the Kerr spacetime as a concrete example, and to integrate the equations of parallel transport along null geodesics in any spacetime.
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。
