Centrifugally driven relativistic particles: general treatment and new solutions

TL;DR

This paper develops a comprehensive theoretical framework for the motion of relativistic particles driven by centrifugal forces along magnetic field lines near rotating massive bodies, providing new exact solutions and analyzing various dynamical regimes.

Contribution

It introduces a general treatment of centrifugally driven relativistic particles, deriving previously unknown exact analytic solutions and exploring different dynamical regimes based on initial conditions.

Findings

Derived exact analytic solutions for particle trajectories.

Classified different dynamical regimes based on initial conditions.

Discussed potential astrophysical applications.

Abstract

Dynamics of a centrifugally driven particle moving along a magnetically prescribed trajectory (e.g. pulsar magnetic field line) in a spacetime of a rotating massive body is considered. We do assume that the particle is on a zero Landau level and is not losing energy via synchrotron or any other kind of radiation. Based on this model we further study in detail the zero-gravity limit, reconsider the "straight field-line" {\it gedanken experiment} case \cite{mac94} in the "bead-on-the-wire" approximation and find previously overlooked exact analytic solutions for the most general set of initial values. We analyze different regimes of a particle dynamics, classifying them in their relation with specific initial conditions. We conclude by indicating further directions of the study and discussing possible areas of astrophysical applications.