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Centrifugally driven relativistic particles: general treatment and new solutions

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.