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arxiv: math-ph/0504059 · v1 · submitted 2005-04-19 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords equationscalarwavepetrovspace-timestypecompleteconformally
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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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