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Huygens’ principle on Petrov type D space-times. (English) Zbl 0697.53027

J. Carminati and R. G. McLenaghan [Ann. Inst. Henri Poincaré, Phys. Theor. 47, 337-354 (1987)] proved that there are no Petrov type D space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. This negative result is shown to be true also for the Maxwell and Weyl equations.
Reviewer: H.Stephani

MSC:

53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53B50 Applications of local differential geometry to the sciences
35Q99 Partial differential equations of mathematical physics and other areas of application
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