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The exact metric of a moving Kerr black hole with an arbitrary constantvelocity is derived in Kerr-Schild coordinates. We then calculate the nullequatorial gravitational deflection caused by a radially moving Kerr source upto the second post-Minkowskian order, acting as an application of the weakfield limit of the metric. The bending angle of light is found to be consistentwith the result given in the previous works.

Kerr-Schild Form of the Exact Metric for a Constantly Moving Kerr Black Hole and Null Gravitational Deflection