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

Authors

  • Ridvan Cem Demirkol Department of Mathematics Mus Alparslan University.
  • Talat Körpinar Department of Mathematics Mus Alparslan University

DOI:

https://doi.org/10.31349/RevMexFis.64.176

Keywords:

De-Sitter space, Homogeneous electromagnetic field, Faraday antisymmetric tensor, Frenet-Serret frame, Trajectory of a charged particle

Abstract

We discuss the geometric characterization of the trajectory
of a moving charged particle, for the case of a homogeneous electromagnetic
eld, in De-Sitter space when the motion is governed by the Lorentz equa-
tion. 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 eld acting on the particle in De-Sitter space, and of
the Faraday antisymmetric tensor properties.

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Published

2018-03-14

How to Cite

[1]
R. C. Demirkol and T. Körpinar, “The motion of a relativistic charged particle in a homogenous electromagnetic field in De-Sitter space”, Rev. Mex. Fís., vol. 64, no. 2 Mar-Apr, pp. 176–180, Mar. 2018.

Issue

Vol. 64 No. 2 Mar-Apr (2018): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.