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Second Post-Minkowskian Metric for a Moving Kerr Black Hole

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arxiv 2007.13329 v1 pith:EIXSWF7Q submitted 2020-07-27 gr-qc

Guansheng He , Chunhua Jiang , Wenbin Lin This is my paper · ORCID
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keywords metricmovingblackgravitationalholekerrpost-minkowskiansecond
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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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  1. Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens

    gr-qc 2025-06 conditional novelty 6.0 of 10

    A unified 1PM formula gives the gravitational time delay of relativistic massive and massless particles by a radially moving Schwarzschild lens, matching known light and static limits.

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