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- W2262594911 abstract "It is shown that the validity of Huygens' principle for the conformally invariant scalar wave equation, Maxwell's equations or Weyl's neutrino equation on a Petrov type III space-time, implies that the space-time is conformally related to one on which the repeated principal null vector field of the Weyl tensor, is recurrent. Further, it is proven that if a certain mild assumption which is shown to be suggested by the necessary conditions, is imposed on the covariant derivative of the Weyl tensor, then there are no Petrov type III space-times on which any of the above equations satisfies Huygens' principle On demontre que la validite du principe de Huygens pour l'equation d'onde scalaire invariante conforme, les equations de Maxwell ou l'equation de Weyl pour les neutrinos sur un espace-temps de Petrov de type III impliquent que cet espace-temps est conformement relie a un espace ou le noyau principal repete du tenseur de Weyl est recurrent. On montre de plus sous une hypothese faible sur la derivee covariante du tenseur de Weyl suggeree par la condition necessaire qu'il n'existe pas d'espace-temps de Petrov de type III ou les equations ci-dessus satisfont le principe de Huygens" @default.
- W2262594911 created "2016-06-24" @default.
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- W2262594911 date "1988-01-01" @default.
- W2262594911 modified "2023-09-27" @default.
- W2262594911 title "An explicit determination of the space-times on which the conformally invariant scalar wave equation satisfies Huygens' principle. Part III : Petrov type III space-times" @default.
- W2262594911 hasPublicationYear "1988" @default.
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