Timelike Geodesics in Naked Singularity and Black Hole Spacetimes II
Abstract
We derive here the orbit equations of particles in naked singularity spacetimes, namely the Bertrand (BST) and Janis-Newman-Winicour (JNW) geometries, and for the Schwarzschild black hole. We plot the orbit equations and find the Perihelion precession of the orbits of particles in the BST and JNW spacetimes and compare these with the Schwarzschild black hole spacetime. We find and discuss different distinguishing properties in the effective potentials and orbits of particle in BST, JNW and Schwarzschild spacetimes, and the particle trajectories are shown for the matching of BST with an external Schwarzschild spacetime. We show that the nature of perihelion precession of orbits in BST and Schwarzschild spacetimes are similar, while in the JNW case the nature of perihelion precession of orbits is opposite to that of the Schwarzschild and BST spacetimes. Other interesting and important features of these orbits are pointed out.
Keywords
Cite
@article{arxiv.1909.08873,
title = {Timelike Geodesics in Naked Singularity and Black Hole Spacetimes II},
author = {Ashok B. Joshi and Parth Bambhaniya and Dipanjan Dey and Pankaj S. Joshi},
journal= {arXiv preprint arXiv:1909.08873},
year = {2019}
}
Comments
13 pages, 24 figures