Nonexistence of Petrov type III Space-Times on which Weyl's Neutrino Equation or Maxwell's Equations satisfy Huygens' Principle

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dc.creatorMcLenaghan, R. G.
dc.creatorSasse, F. D.
dc.date2005-04-13
dc.date.accessioned2026-07-07T04:32:01Z
dc.date.available2026-07-07T04:32:01Z
dc.descriptionExtending previous results we show that there are no Petrov type III space-times on which either the Weyl neutrino equation or Maxwell's equations satisfy Huygens' principle. We prove the result by using Maple's NPspinor package to convert the five-index necessary condition obtained by Alvarez and Wunsch to dyad form. The integrability conditions of the problem lead to a system of polynomial equations. We then apply Maple's grobner package to show that this system has no admissible solutions.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0504040
dc.identifierhttp://arxiv.org/abs/math-ph/0504040
dc.identifierAnnales Poincare Phys.Theor. 65 (1996) 253-271
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58036
dc.subjectMathematical Physics
dc.subject35L05, 35L15
dc.titleNonexistence of Petrov type III Space-Times on which Weyl's Neutrino Equation or Maxwell's Equations satisfy Huygens' Principle
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