Electromagnetic Waves in the De Sitter Space

preprint2010arXivOpen access

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 Aa,a=1,...,5A_{a}, a= 1,...,5 of three types, j,j+1,j−1j,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 Π,E,MΠ, E,M; the first is trivial and can be removed by a gauge ransformation. The recipe is specified to produce spherical Π,E,MΠ, E, M solutions in static coordinates.

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