Post-Keplerian motion in Reissner-Nordstr\"{o}m spacetime
General Relativity and Quantum Cosmology
2019-03-11 v1
Abstract
We present the analytical post-Newtonian solutions for the test particle's motion in the Reissner-Nordstr\"{o}m spacetime. The solutions are formulated in the Wagoner-Will representation, the Epstein-Haugan representation, the Brumberg representation, and the Damour-Deruelle representation, respectively. The relations between the (post-)Keplerian parameters in different representations, as well as their relations to the orbital energy and angular momentum are also provided.
Keywords
Cite
@article{arxiv.1903.03432,
title = {Post-Keplerian motion in Reissner-Nordstr\"{o}m spacetime},
author = {Bo Yang and Wenbin Lin},
journal= {arXiv preprint arXiv:1903.03432},
year = {2019}
}