Geodesic structure of Janis-Newman-Winicour space-time

Abstract

In the present paper we study the geodesic structure of the Janis-Newman-Winicour(JNW) space-time which contains a strong curvature naked singularity. This metric is an extension of the Schwarzschild geometry when a massless scalar field is included. We find that the strength parameter $\mu$ of the scalar field effects on the geodesic structure of the JNW space-time. By solving the geodesic equation and analyzing the behavior of effective potential, we investigate all geodesic types of the test particle and the photon in the JNW space-time. At the same time we simulate all the geodesic orbits corresponding to the energy levels of the effective potential in the JNW space-time.

19 pages,39 figs

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Cited by in corpus (5)

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• Periodic orbits around a spherically symmetric naked singularity
• Towards an observational test of black hole versus naked singularity at the galactic center
• Kasner-type singularities and solitons with Lifshitz asymptotics
• Supergravity $p$-branes with scalar charge