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Letter: Models of Relativistic Particle with Curvature and Torsion Revisited

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Abstract

Models, describing relativistic particles, where Lagrangian densities depend linearly on both the curvature and the torsion of the trajectories, are revisited in D=3 space forms. The moduli spaces of trajectories are completely and explicitly determined using the Lancret program. The moduli subspaces of closed solitons in the three sphere are also determined.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad del Pais Vasco/Euskal Herriko Unibertsitatea, Aptdo 644, 48080, Bilbao, Spain

    Josu Arroyo & Oscar J. Garay

  2. Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain

    Manuel Barros

Authors
  1. Josu Arroyo
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  2. Manuel Barros
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  3. Oscar J. Garay
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Arroyo, J., Barros, M. & Garay, O.J. Letter: Models of Relativistic Particle with Curvature and Torsion Revisited. General Relativity and Gravitation 36, 1441–1451 (2004). https://doi.org/10.1023/B:GERG.0000022580.08717.40

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  • DOI: https://doi.org/10.1023/B:GERG.0000022580.08717.40

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