Universal time delay in static spherically symmetric spacetimes for null and timelike signals  

作　　者：Haotian Liu Junji Jia 刘昊天;贾俊基(MOE Key Laboratory of Artificial Micro-and Nano-structures,School of Physics and Technology,Wuhan University,Wuhan 430072,China)

机构地区：[1]MOE Key Laboratory of Artificial Micro-and Nano-structures,School of Physics and Technology,Wuhan University,Wuhan 430072,China

出　　处：《Chinese Physics C》2021年第8期28-35,共8页中国物理C（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11504276);MOST China(2014GB109004)。

摘　　要：A perturbative method of computing the total travel time of both null and lightlike rays in arbitrary static spherically symmetric spacetimes in the weak field limit is proposed.The resultant total time takes a quasi-series form of the impact parameter.The coefficient of this series at a certain order n is shown to be determined by the asymptotic expansion of the metric functions to the order n+1.For the leading order(s),the time delay,as well as the difference between the time delays of two types of relativistic signals,is shown to take a universal form for all SSS spacetimes.This universal form depends on the mass M and a post-Newtonian parameter γ of the spacetime.The analytical result is numerically verified using the central black hole of galaxy M87 as the gravitational lensing center.

关 键 词：time delay static spherically symmetric gravitational lensing timelike geodesics 

分 类 号：P14[天文地球—天体物理]