论文标题

径向移动的Kerr-Newman黑洞赤道平面中二阶偏转的分析推导

Analytical Derivation of Second-Order Deflection in Equatorial Plane of a Radially Moving Kerr-Newman Black Hole

论文作者

He, Guansheng, Lin, Wenbin

论文摘要

在这项工作中,我们基于二阶后杆后运动方程,并应用一种迭代技术来分析地推导Kerr-Newman Black Hole赤道平面的相对论颗粒的重力偏转,该平面具有径向(或纵向)和恒定速度。我们发现,运动学上对偏转二阶贡献的校正效应可以表示为非常紧凑的形式,这对于巨大的粒子和光子都有效。我们的结果减少了由移动的Schwarzschild黑洞引起的一阶偏转的先前公式,当二阶贡献掉落时。

In this work, we base on the second-order post-Minkowskian equations of motion, and apply an iterative technique to analytically derive the gravitational deflection of the relativistic particles in the equatorial plane of Kerr-Newman black hole with a radial (or longitudinal) and constant velocity. We find that the kinematically correctional effects on the second-order contributions to the deflection can be expressed into a very compact form, which are valid for both the massive particle and photon. Our result reduces to the previous formulation for the first-order deflection caused by a moving Schwarzschild black hole when the second-order contributions are dropped.

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