Geometrical particle models on 3D null curves

Abstract

The simplest (2+1)-dimensional mechanical systems associated with light-like curves, already studied by Nersessian and Ramos, are reconsidered. The action is linear in the curvature of the particle path and the moduli spaces of solutions are completely exhibited in 3-dimensional Minkowski background, even when the action is not proportional to the pseudo-arc length of the trajectory.

Corrected typos and english flaws. Final version accepted in Phys. Lett. B

References in corpus (1)

• Particle with torsion on 3d null-curves

Cited by in corpus (7)

• Hamiltonian flows on null curves
• Closed trajectories of a particle model on null curves in anti-de Sitter 3-space
• Reduction for constrained variational problems on 3D null curves
• Conformal geometry of timelike curves in the (1+2)-Einstein universe
• Null Frenet-Serret Dynamics
• Auxiliary fields in the geometrical relativistic particle dynamics
• Critical Robertson-Walker universes