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Physical Review D 84 (2011) 124050
Conformal use of retarded Green's functions for the Maxwell field in de Sitter space
S. Faci1, E. Huguet1, J. Renaud1

We propose a new propagation formula for the Maxwell field in de Sitter space which exploits the conformal invariance of this field together with a conformal gauge condition. This formula allows to determine the classical electromagnetic field in the de Sitter space from given currents and initial data. It only uses the Green's function of the massless Minkowskian scalar field. This leads to drastic simplifications in practical calculations. We apply this formula to the classical problem of the two charges of opposite signs at rest at the North and South Poles of the de Sitter space.
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
Physique/Relativité Générale et Cosmologie Quantique

Physique/Physique des Hautes Energies - Théorie
Quantum field theory in curved spacetime – Einstein-Maxwell spacetimes – spacetimes with fluids – radiation or classical fields
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