The motion of a relativistic charged particle in a homogeneous electromagnetic field in De-Sitter space

• Talat Körpinar ^[1] ; Ridvan Cem Demirkol ^[1] ; Vedat Asil ^[2]
  1. [1] Muş Alparslan University

     Muş Alparslan University

     Turquía

     
  2. [2] Fırat University

     Fırat University

     Turquía

     
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 64, Nº. 2, 2018, págs. 176-180
• Idioma: inglés
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• Resumen

  • We discuss the geometric characterization of the trajectory of a moving charged particle, for the case of a homogeneous electromagnetic field, in De-Sitter space when the motion is governed by the Lorentz equation. We employ totally relativistic approach during the discussion and it is based on a systematic use of the four-dimensional Frenet-Serret formulae, which is adapted to the De-Sitter space to determine the worldline geometry of the electromagnetic field acting on the particle in De-Sitter space, and of the Faraday antisymmetric tensor properties.