The Quasi-Keplerian Motion of the Charged Test Particle in Reissner-Nordström Spacetime under the Wagoner-Will-Epstein-Haugan Representation

We present the post-Newtonian solution for the quasi-Keplerian motion of a charged test particle in the field of Reissner-Nordström black hole under the Wagoner-Will-Epstein-Haugan representation. The explicit formulations for the charge effects on perihelion precession and the orbital period are ac...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 14; no. 12; p. 2661
Main Authors Yang, Bo, Jiang, Chunhua, He, Guansheng, Lin, Wenbin
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.12.2022
Subjects
Approximation
Black holes
Charged particles
Energy
Gravitational waves
Gravity
Kepler laws
Numerical analysis
Orbits
Perihelions
post-Newtonian approximation
quasi-Keplerian
Reissner-Nordström spacetime
Representations
Solar orbits
Spacetime
Symmetry
Theory of relativity
Waveforms
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Summary:We present the post-Newtonian solution for the quasi-Keplerian motion of a charged test particle in the field of Reissner-Nordström black hole under the Wagoner-Will-Epstein-Haugan representation. The explicit formulations for the charge effects on perihelion precession and the orbital period are achieved, which may be useful not only in the comparisons with astronomical observations but also in calculating the waveform of the gravitational wave from this kind of system.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14122661