Electromagnetic Waves in the De Sitter Space

V. S. Otchik; V. M. Red'kov

Electromagnetic Waves in the De Sitter Space

High Energy Physics - Theory 2010-01-26 v1

Authors: V. S. Otchik , V. M. Red'kov

Abstract

5-Dimensional wave equation for a massive particle of spin 1 in the background of de Sitter space-time model is solved in static coordinates. The spherical 5-dimensional vectors $A_{a}, a= 1,...,5$ of three types, $j,j+1, j-1$ are constructed. In massless case they give electromagnetic wave solutions, obeying the Lorentz condition. 5-form of equations in massless case is used to produce recipe to build electromagnetic wave solutions of the types $\Pi, E,M$ ; the first is trivial and can be removed by a gauge ransformation. The recipe is specified to produce spherical $\Pi, E, M$ solutions in static coordinates.

Keywords

static spherically symmetric solutions in general relativity de sitter spacetime partial differential equations

Cite

@article{arxiv.1001.4253,
  title  = {Electromagnetic Waves in the De Sitter Space},
  author = {V. S. Otchik and V. M. Red'kov},
  journal= {arXiv preprint arXiv:1001.4253},
  year   = {2010}
}

Comments

19 pages; This paper is based on the old one: V.S. Otchik, V.M. Red'kov. Spherical waves of electric, magnetic and longitudinal types in de Sitter space. Minsk (1986). 44 pages. Deposited in VINITI 16.12.86, 8641 - B86 (in Russian)

Electromagnetic Waves in the De Sitter Space

Abstract

Keywords

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