Dynamics of test particles around charged black holes in Einstein-Æther gravity

Abstract

This paper focuses on the issues of motion of various kinds of charged, magnetized, and neutral test particles in the vicinity of static and spherically symmetric electrically charged black holes in the Einstein-Æther gravitational theory. Our purpose here is to analyze the effects of the free parameters occurring in the Einstein-Æther theory for particle motion in curved spacetime. Specifically, we have studied the stability of circular and radially varying orbits of different kinds of particles by varying the free parameters [Formula: see text] and [Formula: see text], and also varying the particle’s specific energy, specific angular momentum, and electric charge of the black hole. As a special case, we investigate the charged particle motion around the black holes with a uniform magnetic field by checking the characteristics of the particle’s innermost stable circular orbit. Finally, we propose few values of the parameters [Formula: see text] and [Formula: see text] which mimic the behavior of spin of a Kerr black hole to model an astrophysical black hole.