Geodesic Structure of Janis-Newman-Winicour Space-time

• DOI: 10.1007/s10773-015-2526-1
• Publication Date: 2015-01-26T07:26:08Z
• Authors: Sheng Zhou; Ruanjing Zhang; Juhua Chen; Yongjiu Wang
• Keywords: 0103 physical sciences; FOS: Physical sciences; General Relativity and Quantum Cosmology (gr-qc); 01 natural sciences; General Relativity and Quantum Cosmology

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 $��$ 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.<br/>19 pages,39 figs<br/>