Periodic orbits around a spherically symmetric naked singularity

The motion of time-like test particles in the Fisher/Janis-Newman-Winicour (F/JNW) spacetime is studied with the Hamiltonian formulation of the geodesic equations. The spacetime is characterised by its mass parameter \(r_g\) and scalar field parameter \(\nu\). The innermost bound and stable circular...

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Bibliographic Details
Published in:arXiv.org 2017-10
Main Authors: Gulmina Zaman Babar, Adil Zaman Babar, Lim, Yen-Kheng
Format: Article
Language:English
Subjects:
Angular momentum
Circular orbits
Parameters
Potential barriers
Spacetime
Online Access:Get full text
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Summary:The motion of time-like test particles in the Fisher/Janis-Newman-Winicour (F/JNW) spacetime is studied with the Hamiltonian formulation of the geodesic equations. The spacetime is characterised by its mass parameter \(r_g\) and scalar field parameter \(\nu\). The innermost bound and stable circular orbits are calculated and the effective potential is analysed. Consistent with numerical results in earlier literature, for \(\nu
ISSN:2331-8422
DOI:10.48550/arxiv.1710.09581