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arXiv · 2007.11809

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

Guansheng He·Wenbin Lin
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Abstract

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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Guansheng He, Wenbin Lin. 2020-07-23. Second-order time delay by a radially moving Kerr-Newman black hole. https://doi.org/10.1103/physrevd.94.063011

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