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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Published in:arXiv.org 2017-10
Main Authors: Gulmina Zaman Babar, Adil Zaman Babar, Lim, Yen-Kheng
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Language:English
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Angular momentum
Circular orbits
Parameters
Potential barriers
Spacetime
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Adil Zaman Babar
Lim, Yen-Kheng
description 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
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subjects Angular momentum
Circular orbits
Parameters
Potential barriers
Spacetime
title Periodic orbits around a spherically symmetric naked singularity
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