Geodesic structure of Janis-Newman-Winicour space-time

TL;DR

This paper explores how the scalar field parameter influences the paths of particles and photons in the Janis-Newman-Winicour space-time, revealing the impact of naked singularities on geodesic behavior.

Contribution

It provides a detailed analysis of geodesic structures in JNW space-time, extending understanding of naked singularities and scalar field effects on particle trajectories.

Findings

Scalar field strength affects geodesic paths

All types of geodesics are characterized in the space-time

Simulations illustrate orbit behaviors at different energy levels

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.