The fields of uniformly accelerated charges in de Sitter spacetime

TL;DR

This paper constructs scalar and electromagnetic fields for uniformly accelerated charges in de Sitter spacetime, generalizing flat spacetime solutions and analyzing their radiative properties considering the spacelike infinities.

Contribution

It extends Born solutions to de Sitter spacetime and examines how radiative properties depend on approach to spacelike infinity.

Findings

Fields involve both retarded and advanced effects.

Purely retarded fields do not satisfy constraints at past infinity.

In the limit as Lambda approaches zero, solutions reduce to flat spacetime Born solutions.

Abstract

The scalar and electromagnetic fields of charges uniformly accelerated in de Sitter spacetime are constructed. They represent the generalization of the Born solutions describing fields of two particles with hyperbolic motion in flat spacetime. In the limit Lambda -> 0, the Born solutions are retrieved. Since in the de Sitter universe the infinities I^+- are spacelike, the radiative properties of the fields depend on the way in which a given point of I^+- is approached. The fields must involve both retarded and advanced effects: Purely retarded fields do not satisfy the constraints at the past infinity I^-.