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 $A_a,a=1,...,5$ 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.

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)

Cited by in corpus (1)

• Electromagnetic Field in de Sitter Expanding Universe: Majorana--Oppenheimer Formalism, Exact Solutions in non-Static Coordinates