Gravitomagnetic effects in the propagation of electromagnetic waves in variable gravitational fields of arbitrary-moving and spinning bodies
Gravitomagnetic effects in the propagation of electromagnetic waves in variable gravitational fields of arbitrary-moving and spinning bodies
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DOI：
10.1103/physrevd.65.064025
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发表时间：
2002-03-15
影响因子：
5
通讯作者：
Mashhoon, B
中科院分区：
文献类型：
--
作者：
Kopeikin, S;Mashhoon, B
讨论了自重自旋物体以任意速度运动时，光在引力场中的传播。所有地方的引力场都被认为是“弱的”。光线的运动方程是在第一后Minkowskian近似下求解的，该近似相对于万有引力常数G是线性的。我们不局限于引力透镜的近似，因此光测地线的解适用于光源和观测者的任意位置。该形式被应用于研究脉冲星及其伴星自转引起的双星脉冲星的夏皮罗时延的修正。我们还推导了太阳系(太阳、行星)或引力透镜中引力体自转引起的光偏转角的修正。文中还分析了光线偏转体的平移和转动联合运动引起的频率的引力漂移。我们给出了描述电磁波极化面相对论旋转(斯科罗茨基效应)的公式的一般推导。该公式适用于引力体的任意平移和转动运动，极大地推广了前人的结果。最后，我们讨论了像双星系统这样的定域源发出的引力波的Skrotskii效应。本文的理论结果可用于研究微弧秒空间天体测量中的各种相对论效应，以及在FAME、SIM和GAIA等空间天体测量任务中开发相应的数据处理算法。
The propagation of light in the gravitational field of self-gravitating spinning bodies moving with arbitrary velocities is discussed. The gravitational field is assumed to be "weak" everywhere. The equations of motion of a light ray are solved in the first post-Minkowskian approximation which is linear with respect to the universal gravitational constant G. We do not restrict ourselves to the approximation of a gravitational lens so that the solution of light geodesics is applicable for arbitrary locations of the source of light and the observer. This formalism is applied for studying corrections to the Shapiro time delay in binary pulsars caused by the rotation of the pulsar and its companion. We also derive the correction to the light deflection angle caused by the rotation of gravitating bodies in the solar system (Sun, planets) or a gravitational lens. The gravitational shift of frequency due to the combined translational and rotational motions of light-ray-deflecting bodies is analyzed as well. We give a general derivation of the formula describing the relativistic rotation of the plane of polarization of electromagnetic waves (Skrotskii effect). This formula is valid for arbitrary translational and rotational motion of gravitating bodies and greatly extends the results of previous researchers. Finally, we discuss the Skrotskii effect for gravitational waves emitted by localized sources such as a binary system. The theoretical results of this paper can be applied for studying various relativistic effects in microarcsecond space astrometry and developing corresponding algorithms for data processing in space astrometric missions such as FAME, SIM, and GAIA.