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Vol.41 (3) 2019 — 1 results found.

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On the Initial Value Problem for the Electromagnetic Wave Equation in Friedmann-Robertson-Walker Space-times
C. R. Math. Rep. Acad. Sci. Canada Vol. 41 (3) 2019, pp. 45-56
Walter Craig; Mikale Reddy (Received: 2019/10/13, Revised: 2019/10/15)

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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 and continuity through the space-time singularity to that of the scalar wave equation presented by Abbasi and Craig (2014).

On résout l’équation des ondes électromagnétiques dans l’espace-temps de Friedmann-Robertson-Walker pour les courbures \(K = 0\) et \(K = -1\). En obtenant une expression de la solution en termes de moyennes sphériques, on déduit et compare deux propriétés du propagateur de Maxwell, à savoir le taux de décroissance et la continuité à travers la singularité, à celles de l’équation des ondes scalaires présentée par Abbasi et Craig (2014).

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