Retrograde Precession of Relativistic Orbits and the Quest for Charged Black Holes

Abstract

The S-stars around the center of the milky way galaxy provide us with detailed information about the nature of the supermassive compact object Sagittarius A* (Sgr A*). In this work, we derive the fully relativistic orbit equations for the case of the Reissner-Nordström (RN) and Kerr-Newman spacetimes. We solve these orbit equations numerically to analyze the periastron shift of relativistic orbits. We show that retrograde precession (or negative precession) of timelike bound orbits is possible in the case of naked singularity arising from these spacetimes. We have then compared our results with the non-charged Schwarzschild and Kerr spacetimes. This theoretical analysis of relativistic orbits would be helpful in either confirming or ruling out such charged black holes and naked singularities through the future trajectories of S-stars and will also help us constrain the geometry of Sgr A*.

15 pages, 8 figures

References in corpus (17)

• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• Testing General Relativity with stellar orbits around the supermassive black hole in our Galactic center
• Complete analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--times
• Shadow of a Naked Singularity without Photon Sphere
• Thin accretion disk in the Simpson-Visser black-bounce and wormhole spacetimes
• Shadows and negative precession in non-Kerr spacetime
• Shadows and precession of orbits in rotating Janis-Newman-Winicour spacetime
• Precession of timelike bound orbits in Kerr spacetime
• Towards an observational test of black hole versus naked singularity at the galactic center
• Periapsis shifts in dark matter distribution around a black hole
• Energy extraction from Janis-Newman-Winicour naked singularity
• Natural orbit approximations in single power-law potentials
• Imaging ultra-compact objects with radiatively inefficient accretion flows
• General formulae for the periapsis shift of a quasi-circular orbit in static spherically symmetric spacetimes and the active gravitational mass density
• Relativistic time delay analysis of pulsar signals near ultra-compact objects
• A Study of Black Holes and Beyond: Shadows and Relativistic Orbits