✦ LIBER ✦
Solutions to the Lorentz force equation with fixed charge-to-mass ratio in globally hyperbolic space–times
✍ Scribed by Erasmo Caponio; Ettore Minguzzi
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 99 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0393-0440
No coin nor oath required. For personal study only.
✦ Synopsis
We 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 ∈ 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.