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Zbl 0997.83006
Ferrández, Angel; Giménez, Angel; Lucas, Pascual
Geometrical particle models on 3D null curves. (English)
[J] Phys. Lett., B 543, No.3-4, 311-317 (2002). ISSN 0370-2693

Summary: 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.

MSC 2000:: *83C10 Equations of motion

Keywords: $(2+1)$-dimensional mechanical systems; light-like curves; solution moduli spaces

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