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

2005/04/19 by S. R. Czapor, R. G. McLenaghan, F. D. Sasse
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:35L15 #msc:83C20 #msc:83C60

paper · pdf

published as Ann. Inst. Henri Poincare (A) Phys. Theorique 71, 595-620 (1999) · 22 pages

arxiv created 2005/04/19 · arxiv updated 2009/12/01

Abstract

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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