On the Asymptotic Character of Electromagnetic Waves in a Friedmann-Robertson-Walker Universe

TL;DR

This paper investigates the long-term behavior of electromagnetic waves in different types of Friedmann-Robertson-Walker universes, analyzing their asymptotic properties and implications for cosmological wave tails.

Contribution

It provides a comprehensive analysis of electromagnetic wave asymptotics across flat, closed, and open FRW models, extending understanding of wave behavior in cosmological contexts.

Findings

Electromagnetic waves exhibit distinct asymptotic behaviors depending on universe geometry.

Solutions to Maxwell's equations are derived for all three FRW universe types.

Discussion on the relevance of wave tails to cosmological observations.

Abstract

Asymptotic properties of electromagnetic waves are studied within the context of Friedmann-Robertson-Walker (FRW) cosmology. Electromagnetic fields are considered as small perturbations on the background spacetime and Maxwell's equations are solved for all three cases of flat, closed and open FRW universes. The asymptotic character of these solutions are investigated and their relevance to the problem of cosmological tails of electromagnetic waves is discussed.