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Huygens' principle and characteristic propagation property for waves in curved space-times

par Sonego, Sebastiano;Faraoni, Valerio
Référence Journal of mathematical physics, 33, 2, page (625-632)
Publication Publié, 1992

Article révisé par les pairs

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Résumé :

Fields satisfying a wave equation on a curved space-time can be accompanied by tails propagating inside the light cone. A formal characterization of tails is given, and the relationship of the tail-free property with the characteristic propagation property (CPP) discussed in the literature is clarified. The scalar wave equation satisfies the CPP independently of the tail-free property only in the case of minimal coupling in two space-time dimensions. The peculiar feature of electromagnetic radiation, for which pure gauge tails in the potential can occur, is pointed out. © 1992 American Institute of Physics.