Electromagnetic Waves in the De Sitter Space
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,...,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 , E,M; the first is trivial and can be removed by a gauge ransformation. The recipe is specified to produce spherical , E, M solutions in static coordinates.
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