Closed trajectories of a particle model on null curves in anti-de Sitter 3-space

Abstract

We study the existence of closed trajectories of a particle model on null curves in anti-de Sitter 3-space defined by a functional which is linear in the curvature of the particle path. Explicit expressions for the trajectories are found and the existence of infinitely many closed trajectories is proved.

arXiv comment12 pages, 1 figure

References in corpus (3)

• Massive spinning particles and the geometry of null curves
• Geometrical particle models on 3D null curves
• Particle with torsion on 3d null-curves

Cited by in corpus (8)

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• Reduction for constrained variational problems on 3D null curves
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• Unified formalism for Palatini gravity
• Topologically embedded pseudospherical cylinders
• Critical Robertson-Walker universes
• Conformal geometry of quasi-umbilical timelike surfaces