Trajectories for relativistic particles under the action of an electromagnetic field in a stationary space-time
type: Item
instance of: scholarly article
title: Trajectories for relativistic particles under the action of an electromagnetic field in a stationary space-time
zbMATH Open document ID: 1012.58010
DOI: 10.1016/S0362-546X(01)00734-9
author: Erasmo Caponio
author: Antonio Masiello
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-08-25T00:00:00Z
review text: The authors consider a stationary Lorentzian manifold \((M,g)\) endowed with some stationary vector field \(Y\) and study the existence and multiplicity for the timelike solutions (trajectories of a relativistic massive and charged particle) of the variational problem related to the action of the electromagnetic field \(\Omega\) the potential field of which is described by \(Y\) (i.e., \(\omega(V)=g(V,Y)\) where \(\Omega=d\omega\)).
reviewed by: Valery Borisovich Marenich
Mathematics Subject Classification ID: 58E10
Mathematics Subject Classification ID: 83C10
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 1787996
zbMATH Keywords: relativistic spacetimes
zbMATH Keywords: electromagnetic fields
zbMATH Keywords: charged particles
zbMATH Keywords: variational methods
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1787996