Complete Solution of Hadamard's Problem for the Scalar Wave Equation on Petrov type III Space-Times

Ann. Inst. Henri Poincare (A) Phys. Theorique 71, 595-620 (1999) We prove that there are no Petrov type III space-times on which the conformally invariant (self-adjoint) scalar wave equation or the non-self-adjoint scalar wave equation satisfies Huygens' principle.

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Hauptverfasser: Czapor, S. R, McLenaghan, R. G, Sasse, F. D
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Sprache:eng
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Zusammenfassung:Ann. Inst. Henri Poincare (A) Phys. Theorique 71, 595-620 (1999) We prove that there are no Petrov type III space-times on which the conformally invariant (self-adjoint) scalar wave equation or the non-self-adjoint scalar wave equation satisfies Huygens' principle.
DOI:10.48550/arxiv.math-ph/0504059