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
2004

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/8839
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