标题： 静止时空下光的引力偏转角定义之间的等价性 显示英文标题

标题： Equivalence between definitions of the gravitational deflection angle of light for a stationary spacetime

摘要： 广义相对论中静态时空的引力透镜效应的Gibbons-Werner-Ono-Ishihara-Asada方法最近被重新审视[Huang和Cao，arXiv:2306.04145]，其中基于高斯-博内定理的光的引力偏转角可以重写为两个函数$H$和$T$的线积分。 本文证明了Huang-Cao的线积分定义与Ono-Ishihara-Asada的定义[Phys. Rev. D 96, 104037 (2017)]是等价的，无论渐近区域如何。 还就这些定义在实际应用中光线方向的问题进行了说明。 显示英文摘要

摘要： The Gibbons-Werner-Ono-Ishihara-Asada method for gravitational lensing in a stationary spacetime has been recently reexamined [Huang and Cao, arXiv:2306.04145], in which the gravitational deflection angle of light based on the Gauss-Bonnet theorem can be rewritten as a line integral of two functions $H$ and $T$. The present paper proves that the Huang-Cao line integral definition and the Ono-Ishihara-Asada one [Phys. Rev. D 96, 104037 (2017)] are equivalent to each other, whatever asymptotic regions are. A remark is also made concerning the direction of a light ray in a practical use of these definitions.