谐和坐标系下光线在Kerr场中赤道面内传播时的二阶时间延迟的计算  

A Second-Order Approximation for the Time Delay of Light Propagating in the Equatorial Plane of Kerr Field in the Harmonic Coordinates

作　　者：王琨[1] 

机构地区：[1]西南交通大学物理科学与技术学院,四川成都610031

出　　处：《洛阳师范学院学报》2014年第8期36-39,共4页Journal of Luoyang Normal University

摘　　要：在现有的研究中,关于光线在Kerr场中的时间延迟的计算都限制在Boyer-Lindquist(B-L)坐标系中.其中由引力源旋转引起的时间延迟属于二阶效应.由于时间延迟效应的计算在不同坐标系(如标准坐标系,各项同性坐标系,谐和坐标系)下的结果是不同的,所以当考虑旋转效应时,计算是在哪种坐标系中进行的必须给出说明.本文研究了谐和坐标系下Kerr场中赤道面内光线传播时的时间延迟,给出了二阶的解析计算,并将所得结果与B-L坐标系中的结果进行对比.结论表明,两种坐标系的差异对时间延迟的效应的量级远大于引力源的旋转效应.The time delay of light in the Kerr field has usually been studied in Boyer-Lindquist （B-L） coordi- nates. The time delay due to the rotation is a second-order effect. When this effect is considered, it is necessary to specify whether one is dealing with standard, isotropic, or harmonic coordinates, since the calculations in these co- ordinates are different. In this paper we present a second-order analytical calculation of the time delay in the Kerr field within the equatorial plane in the harmonic coordinates and compare the result with that in the Boyer-Lindquist coordinates. Our results show that the magnitude of the difference between these two coordinates is much larger than the rotational effect on the time delay.

关 键 词：时间延迟 KERR黑洞 二阶 谐和坐标系 

分 类 号：O412.1[理学—理论物理]