Complete Solution of Hadamard's Problem for the Scalar Wave Equation on Petrov type III Space-Times
Mathematical Physics
2007-05-23 v1 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0504059,
title = {Complete Solution of Hadamard's Problem for the Scalar Wave Equation on Petrov type III Space-Times},
author = {S. R. Czapor and R. G. McLenaghan and F. D. Sasse},
journal= {arXiv preprint arXiv:math-ph/0504059},
year = {2007}
}
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22 pages