In this paper we prove an extension of the Avez-Seifert theorem to the relativistic Lorentz force equation. Let (M,g) be a globally hyperbolic space-time, F an exact 2-form on M representing the electromagnetic field, (F) over cap the Lorentz force associated to F, and q a charge for a test particle. Let p(0) and p(1) be two chronologically related points on M, then there exists a future-pointing timelike solution of the Lorentz force equation D-s(z)over dot=q (F) over cap (z)[(z)over dot], connecting p(0) and p(1). (C) 2004 American Institute of Physics.
The Avez-Seifert theorem for the relativistic Lorentz force equation / Caponio, E; Masiello, A. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 45:11(2004), pp. 4134-4140. [10.1063/1.1782673]
The Avez-Seifert theorem for the relativistic Lorentz force equation
Caponio E;Masiello A
2004-01-01
Abstract
In this paper we prove an extension of the Avez-Seifert theorem to the relativistic Lorentz force equation. Let (M,g) be a globally hyperbolic space-time, F an exact 2-form on M representing the electromagnetic field, (F) over cap the Lorentz force associated to F, and q a charge for a test particle. Let p(0) and p(1) be two chronologically related points on M, then there exists a future-pointing timelike solution of the Lorentz force equation D-s(z)over dot=q (F) over cap (z)[(z)over dot], connecting p(0) and p(1). (C) 2004 American Institute of Physics.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
