Electromagnetic Waves in the De Sitter Space

TL;DR

This paper solves the 5-dimensional wave equation for a spin-1 particle in de Sitter space, constructing electromagnetic wave solutions with specific spherical modes in static coordinates.

Contribution

It provides explicit solutions for electromagnetic waves in de Sitter space using a 5-dimensional formalism, including a method to generate spherical , ,  modes.

Findings

Constructed electromagnetic wave solutions obeying Lorentz condition.

Developed a recipe for spherical , ,  mode solutions.

Identified gauge-removable trivial solutions.

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.