哈勃参数对Robertson-McVittie时空中光线轨道的影响和雷达回波延迟修正

Effect of Hubble parameter on the orbit of light ray and radar echo delay in Robertson-McVittie spacetime

采用后牛顿近似计算方法讨论了哈勃参数H(t)对Robertson-McVittie时空中电磁波传播的后牛顿影响.对于光线的偏转实验,同时考虑了光源和接收点的有限距离(d1,d2)对偏转角度的影响,计算给出了哈勃参数H0对偏转角度的最大修正.对于雷达回波的延迟效应,给出了哈勃参数对时间延迟公式的最大修正.该工作利用经典引力实验考虑宇宙膨胀对电磁波传播的后牛顿影响,可为当前的高精度空间引力实验提供理论参考.

In this paper,the effect of Hubble parameter on the propagation of electromagnetic wave in Robertson-McVittie spacetime is discussed by using the post-Newtonian approximation method. To the bending test of light ray,the deflection angle caused by Hubble parameter H0 is calculated to its maximum amendatory term. Besides,the effects of finite distances of light source and receiver （d1 and d2） on deflection angle are also considered in this work. To the radar echo delay test,the maximum amendatory term to the formulae,induced by Hubble parameter,is given. The paper focuss on the study of influence of cosmological expansion on the propagation of electromagnetic wave. The work can be checked in the current high-precision gravity experiments in space and provides a theoretical basis for these experiments.