Abstract

KOPINAR, Talat; DEMIRKOL, Rıdvan Cem  and  ASIL, Vedat. The motion of a relativistic charged particle in a homogeneous electromagnetic field in De-Sitter space. Rev. mex. fis. [online]. 2018, vol.64, n.2, pp.176-180. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.64.176.

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.

Keywords : De-Sitter space; homogeneous electromagnetic field; Faraday antisymmetric tensor; Frenet-Serret frame; trajectory of acharged particle.

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