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. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 199:1(2004), pp. 115-142. [10.1016/j.jde.2003.09.001]
Time-like solutions to the Lorentz force equation in time-dependent electromagnetic and gravitational fields
Caponio, Erasmo
2004-01-01
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.File in questo prodotto:
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