Effective potential of particles in the oblique black hole magnetosphere

TL;DR

This paper explores the dynamics of charged particles around an inclined rotating black hole with a magnetic field, highlighting the importance of reference frames for effective potential analysis in non-axisymmetric systems.

Contribution

It demonstrates the applicability of the effective potential method in non-axisymmetric black hole magnetospheres when using the correct reference frame.

Findings

Effective potential method can be used in non-axisymmetric systems with proper reference frames.

Breaking axial symmetry significantly affects particle dynamics.

Methodological considerations are crucial for analyzing charged particle motion.

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 non-axisymmetric model and show that it may only be applied in the appropriate reference frame.