Second-order time delay by a radially moving Kerr-Newman black hole

Guansheng He; Wenbin Lin

Second-order time delay by a radially moving Kerr-Newman black hole

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arxiv 2007.11809 v1 pith:2WTBKS4Q submitted 2020-07-23 gr-qc

Guansheng He , Wenbin Lin This is my paper

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keywords delayblackeffectsholekerr-newmanmovingpost-minkowskiansecond-order

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We derive the analytical time delay of light propagating in the equatorial plane and parallel to the velocity of a moving Kerr-Newman black hole up to the second post-Minkowskian order via integrating the null geodesic equations. The velocity effects are expressed by a very compact form. We then concentrate on analyzing the magnitudes of the correctional effects on the second-order contributions to the delay and discuss their possible detection. Our result in the first post-Minkowskian approximation is in agreement with Kopeikin and Sch\"{a}fer's formulation which is based on the retarded Li\'{e}nard-Wiechert potential.

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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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