We present a variational theory for the trajectories of a massive, charged particle in a relativistic spacetime with an electromagnetic field. We state some result on the existence and the multiplicity of such trajectories joining two points, assuming that the spacetime is standard stationary and the electromagnetic field is constant with respect to the standard time coordinate. The results are obtained using critical point theory for functionals on infinite dimensional manifolds and the topological properties of the spacetime.
Trajectories for relativistic particles in an electromagnetic field / Caponio, E; Masiello, A. - STAMPA. - (2002), pp. 369-373. (Intervento presentato al convegno 14th SIGRAV Conference on General Relativity and Gravitational Physics tenutosi a Genova, Italy nel 18--22 Settembre 2000) [10.1007/978-88-470-2101-3_28].
Trajectories for relativistic particles in an electromagnetic field
Caponio E;Masiello A
2002-01-01
Abstract
We present a variational theory for the trajectories of a massive, charged particle in a relativistic spacetime with an electromagnetic field. We state some result on the existence and the multiplicity of such trajectories joining two points, assuming that the spacetime is standard stationary and the electromagnetic field is constant with respect to the standard time coordinate. The results are obtained using critical point theory for functionals on infinite dimensional manifolds and the topological properties of the spacetime.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
