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

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

2005-04-19

arxiv.org/abs/math-ph/0504059v1

Ann. Inst. Henri Poincare (A) Phys. Theorique 71, 595-620 (1999)

Physics

Mathematical Physics

22 pages

Scientific paper

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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