Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895208 | Journal of Geometry and Physics | 2006 | 22 Pages |
Abstract
We consider the motion of relativistic particles described by an action which is a function of the curvature and torsion of the particle path. The Euler–Lagrange equations and the dynamical constants of the motion are expressed in a simple way in terms of a suitable coordinate system. The moduli spaces of solutions in a three-dimensional pseudo-Riemannian space form are completely exhibited.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Angel Ferrández, Julio Guerrero, Miguel Angel Javaloyes, Pascual Lucas,