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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Main Authors: Bo Yang, Chunhua Jiang, Guansheng He, Wenbin Lin
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/12/2661
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author Bo Yang
Chunhua Jiang
Guansheng He
Wenbin Lin
author_facet Bo Yang
Chunhua Jiang
Guansheng He
Wenbin Lin
author_sort Bo Yang
collection DOAJ
description 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.
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spelling doaj.art-75ad6176b0d44b639ae3e2a7182bc4272023-11-24T18:20:58ZengMDPI AGSymmetry2073-89942022-12-011412266110.3390/sym14122661The Quasi-Keplerian Motion of the Charged Test Particle in Reissner-Nordström Spacetime under the Wagoner-Will-Epstein-Haugan RepresentationBo Yang0Chunhua Jiang1Guansheng He2Wenbin Lin3School of Mathematics and Physics, University of South China, Hengyang 421001, ChinaSchool of Mathematics and Physics, University of South China, Hengyang 421001, ChinaSchool of Mathematics and Physics, University of South China, Hengyang 421001, ChinaSchool of Mathematics and Physics, University of South China, Hengyang 421001, ChinaWe 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.https://www.mdpi.com/2073-8994/14/12/2661quasi-KeplerianReissner-Nordström spacetimepost-Newtonian approximation
spellingShingle Bo Yang
Chunhua Jiang
Guansheng He
Wenbin Lin
The Quasi-Keplerian Motion of the Charged Test Particle in Reissner-Nordström Spacetime under the Wagoner-Will-Epstein-Haugan Representation
Symmetry
quasi-Keplerian
Reissner-Nordström spacetime
post-Newtonian approximation
title The Quasi-Keplerian Motion of the Charged Test Particle in Reissner-Nordström Spacetime under the Wagoner-Will-Epstein-Haugan Representation
title_full The Quasi-Keplerian Motion of the Charged Test Particle in Reissner-Nordström Spacetime under the Wagoner-Will-Epstein-Haugan Representation
title_fullStr The Quasi-Keplerian Motion of the Charged Test Particle in Reissner-Nordström Spacetime under the Wagoner-Will-Epstein-Haugan Representation
title_full_unstemmed The Quasi-Keplerian Motion of the Charged Test Particle in Reissner-Nordström Spacetime under the Wagoner-Will-Epstein-Haugan Representation
title_short The Quasi-Keplerian Motion of the Charged Test Particle in Reissner-Nordström Spacetime under the Wagoner-Will-Epstein-Haugan Representation
title_sort quasi keplerian motion of the charged test particle in reissner nordstrom spacetime under the wagoner will epstein haugan representation
topic quasi-Keplerian
Reissner-Nordström spacetime
post-Newtonian approximation
url https://www.mdpi.com/2073-8994/14/12/2661
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