COMPLETENESS OF TRAJECTORIES OF RELATIVISTIC PARTICLES UNDER STATIONARY MAGNETIC FIELDS-Reference-Cited by-同舟云学术

COMPLETENESS OF TRAJECTORIES OF RELATIVISTIC PARTICLES UNDER STATIONARY MAGNETIC FIELDS

Published:2013-08-07 Issue:08 Volume:10 Page:1360007
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

CANDELA ANNA MARIA¹,ROMERO ALFONSO²,SÁNCHEZ MIGUEL²

Affiliation:

1. Dipartimento di Matematica, Università degli Studi di Bari "A. Moro", Via E. Orabona 4, 70125 Bari, Italy

2. Departamento de Geometría y Topología, Universidad de Granada, Avenida Fuentenueva s/n, 18071 Granada, Spain

Abstract

The second-order differential equation [Formula: see text] on a Lorentzian manifold describes, in particular, the dynamics of particles under the action of an electromagnetic field F and a conservative force -∇V. We provide a first study on the extendability of its solutions, by imposing some natural assumptions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887813600074

Reference11 articles.

1. Completeness of the Trajectories of Particles Coupled to a General Force Field

2. Geodesics in semi-Riemannian manifolds: geometric properties and variational tools

3. General Relativity for Mathematicians

4. Completeness of compact Lorentz manifolds admitting a timelike conformal Killing vector field

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