We find existence and multiplicity results for time-like spatially periodic trajectories of massive particles carrying an electric charge and subjected to time-dependent gravitational and electromagnetic fields. Such trajectories are obtained by projecting, on the base space-time, time-like geodesics with respect to a suitable Kaluza-Klein metric.

Time-like solutions to the Lorentz force equation in time-dependent electromagnetic and gravitational fields

Caponio, Erasmo
2004

Abstract

We find existence and multiplicity results for time-like spatially periodic trajectories of massive particles carrying an electric charge and subjected to time-dependent gravitational and electromagnetic fields. Such trajectories are obtained by projecting, on the base space-time, time-like geodesics with respect to a suitable Kaluza-Klein metric.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/6390
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