On the initial value problem for the electromagnetic wave equation in Friedmann-Robertson-Walker space-times

Abstract

We solve the source free electromagnetic wave equation in Friedmann-Robertson-Walker space-times for curvature K=0 and K=-1. Deriving a solution expression in the form of spherical means we deduce and compare two properties of the Maxwell propagator namely, decay rates, as well as continuity through the space-time singularity to that of the scalar wave equation presented by Abbasi and Craig [1].

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