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arXiv · 2007.13329

Second Post-Minkowskian Metric for a Moving Kerr Black Hole

Guansheng He·Chunhua Jiang·Wenbin Lin
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Abstract

The harmonic metric for a moving Kerr black hole is presented in the second post-Minkowskian approximation. It is further demonstrated that the obtained metric is consistent with the Li\'{e}nard-Wiechert gravitational potential for a moving and spinning source with an arbitrary constant velocity. Based on the metric, we also give the post-Newtonian equations of motion for photon and massive test particle in the time-dependent gravitational field.

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Guansheng He, Chunhua Jiang, Wenbin Lin. 2020-07-27. Second Post-Minkowskian Metric for a Moving Kerr Black Hole. https://doi.org/10.1142/s0218271814500795

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