Geodesic structure of Janis-Newman-Winicour space-time. (English) Zbl 1330.83009
Summary: 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 included a massless scalar field. We find that the strength parameter \(\mu\) of the scalar field takes affection 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.
MSC:
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
| 83C10 | Equations of motion in general relativity and gravitational theory |
| 53D25 | Geodesic flows in symplectic geometry and contact geometry |
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