Trajectories for relativistic particles under the action of an electromagnetic field in a stationary space-time

DOI10.1016/S0362-546X(01)00734-9zbMath1012.58010MaRDI QIDQ1612556

Erasmo Caponio, Antonio Masiello

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

variational methodscharged particleselectromagnetic fieldsrelativistic spacetimes

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Equations of motion in general relativity and gravitational theory (83C10) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items

Time-like solutions to the Lorentz force equation in time-dependent electromagnetic and gravitational fields ⋮ A variational setting for an indefinite Lagrangian with an affine Noether charge ⋮ Connecting solutions of the Lorentz force equation do exist ⋮ Lusternik-Schnirelman theory for the action integral of the Lorentz force equation

Cites Work

• Infinite cup length in free loop spaces with an application to a problem of the N-body type
• Trajectories connecting two events of a Lorentzian manifold in the presence of a vector field
• On the problem of the existence for connecting trajectories under the action of gravitational and electromagnetic fields
• Morse theory on Hilbert manifolds
• Category of loop spaces of open subsets in euclidean space
• Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems
• The Large Scale Structure of Space-Time
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item