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arXiv · 0709.2017

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

Emilio Musso·Lorenzo Nicolodi
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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.

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Emilio Musso, Lorenzo Nicolodi. 2007-09-13. Closed trajectories of a particle model on null curves in anti-de Sitter 3-space. https://doi.org/10.1088/0264-9381%2F24%2F22%2F005

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