Timelike bound orbits and pericenter precession around black hole with conformally coupled scalar hair

TL;DR

This paper studies how scalar and electric charges influence particle orbits and precession around a static hairy black hole, using observational data from the S2 star to constrain charge parameters.

Contribution

It provides new insights into the effects of scalar and electric charges on particle dynamics and observational constraints around hairy black holes.

Findings

Charges reduce energy and angular momentum of bound particles.

Periastron precession constraints are tighter than shadow-based constraints.

Identifies configurations of periodic particle orbits around the black hole.

Abstract

We investigate the geodesic motions of timelike particles around a static hairy black hole with conformally coupled scalar field. We mainly focus on the effects of the scalar charge and electric charge on the marginally bound orbits (MBO), innermost stable circular orbits (ISCO) and on the precessing orbits around this black hole. Our results show that both the scalar and electric charges suppress the energy as well as the angular momentum of the particles in the bound orbits. Then, we study the relativistic periastron precessions of the particles and constrain the charge parameters by employing the observational result of the S2 star's precession in SgrA*. It is found that the constraints on the charge parameters from S2 star's motion are tighter than those from black hole shadow. Finally, we analyze the periodic motions of the particles and figure out samples of periodic orbits' configurations around the hairy black hole.