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

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arxiv 2007.09831 v1 pith:YJ35UEI4 submitted 2020-07-20 gr-qc astro-ph.HE

Guansheng He , Wenbin Lin This is my paper
classification gr-qcastro-ph.HE
keywords deflectionsecond-orderblackholecontributionsequatorialkerr-newmanmoving
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole

    gr-qc 2026-02 accept novelty 5.0 of 10

    For a black-bounce-Schwarzschild black hole, the paper derives the strong-deflection lensing observables for massive particles and quantifies how they differ from photon lensing.

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