Solutions to the Lorentz force equation with fixed charge-to-mass ratio in globally hyperbolic spacetimes

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dc.creatorCaponio, E.
dc.creatorMinguzzi, E.
dc.date2002-11-28
dc.date2003-02-12
dc.date.accessioned2026-07-07T06:22:41Z
dc.date.available2026-07-07T06:22:41Z
dc.descriptionWe extend the classical Avez-Seifert theorem to trajectories of charged test particles with fixed charge-to-mass ratio. In particular, given two events x_{0} and x_{1}, with x_{1} in the chronological future of x_{0}, we find an interval I=]-R,R[ such that for any q/m in I there is a timelike connecting solution of the Lorentz force equation. Moreover, under the assumption that there is no null geodesic connecting x_0 and x_1, we prove that to any value of |q/m| there correspond at least two connecting timelike solutions which coincide only if they are geodesics.
dc.descriptionAMS-Latex, 9 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0211100
dc.identifierhttp://arxiv.org/abs/gr-qc/0211100
dc.identifierJ.Geom.Phys. 49 (2004) 176-186
dc.identifierdoi:10.1016/S0393-0440(03)00073-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95982
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSolutions to the Lorentz force equation with fixed charge-to-mass ratio in globally hyperbolic spacetimes
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