General Relativity and Gravitation

, Volume 34, Issue 6, pp 837–852 | Cite as

Geometry and Dynamics of Relativistic Particles with Rigidity

  • Manuel Barros


The simplest models describing spinning particles with rigidity, both massive and massless, are reconsidered. The moduli spaces of solutions are completely exhibited in backgrounds with constant curvature. While spinning massive particles can evolve fully along helices in any three-dimensional background, spinning massless particles need anti De Sitter background to be consistent.

The main machinery used to determine those moduli in AdS3 is provided by a pair of natural Hopf mappings. Therefore, Hopf tubes, B-scrolls and specially the Hopf tube constructed on a horocycle in the hyperbolic plane, play a principal role in this program.

Spinning massless and massive particle moduli spaces of solutions anti De Sitter background Hopf mappings 


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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • Manuel Barros
    • 1
  1. 1.Departamento de Geometría y TopologíaUniversidad de Granada 18071GranadaSpain

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