The exact metric of a moving Kerr black hole with an arbitrary constant velocity is derived in Kerr–Schild coordinates. We then calculate the null equatorial gravitational deflection caused by a radially moving Kerr source up to the second post-Minkowskian order, acting as an application of the weak-field limit of the metric. The bending angle of light is found to be consistent with the result given in the previous works.

中文翻译：

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不断移动的克尔黑洞和零重力偏转的精确度量的克尔-希尔德形式

在 Kerr-Schild 坐标中推导出具有任意恒定速度的移动克尔黑洞的精确度量。然后，我们计算由径向移动的克尔源引起的零赤道引力偏转，直到第二个后闵可夫斯基阶，作为该度量的弱场极限的应用。发现光的弯曲角度与先前工作中给出的结果一致。