Effective potential of particles in the oblique black hole magnetosphere

Abstract

Dynamics of charged matter in the oblique black hole magnetosphere is investigated. In particular, we adopt a model consisting of a rotating black hole embedded in the external large-scale magnetic field that is inclined arbitrarily with respect to the rotation axis. Breaking the axial symmetry appears to have profound consequences regarding the dynamics of particles and it also poses some methodological difficulties. In this contribution we discuss the applicability of the method of effective potential for the nonaxisymmetric model and show that it may only be applied in the appropriate reference frame.

On Innermost Stable Spherical Orbits near a Rotating Black Hole: A Numerical Study of the Particle Motion near the Plunging Region

“…The effective potential expressing the minimal allowed energy of a particle might be expressed as a function of coordinates r, θ and parameters a, L in the following form (Kopáček & Karas 2018a):…”