Conformal use of retarded Green's functions for the Maxwell field in de Sitter space

Abstract

We propose a new propagation formula for the Maxwell field in de Sitter space which exploit 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.

19 pages, 4 figures, Revtex

References in corpus (4)

• Conformally covariant quantization of Maxwell field in de Sitter space
• Conformally related massless fields in dS, AdS and Minkowski spaces
• More on the covariant retarded Green's function for the electromagnetic field in de Sitter spacetime
• Revisiting the conformal invariance of the scalar field: from Minkowski space to de Sitter space

Cited by in corpus (7)

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• Constructing conformally invariant equations by using Weyl geometry
• Conformal invariance: from Weyl to SO(2,d)
• Two-point function for the Maxwell field in flat Robertson-Walker spacetimes
• Conformally invariant formalism for the electromagnetic field with currents in Robertson-Walker spaces
• SO(2,4)-covariant quantization of the Maxwell field in a conformally flat space