Second-order time delay by a radially moving Kerr-Newman black hole
General Relativity and Quantum Cosmology
2020-07-24 v1
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.
Cite
@article{arxiv.2007.11809,
title = {Second-order time delay by a radially moving Kerr-Newman black hole},
author = {Guansheng He and Wenbin Lin},
journal= {arXiv preprint arXiv:2007.11809},
year = {2020}
}