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math-ph2005★ 3 cited
Complete Solution of Hadamard's Problem for the Scalar Wave Equation on Petrov type III Space-Times
S. R. Czapor, R. G. McLenaghan, F. D. Sasse
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…
math-ph2005★ 1 cited
Huygens' Principle for the Non-Self-Adjoint Scalar Wave Equation on Petrov type III Space-Times
W. G. Anderson, R. G. McLenaghan, F. D. Sasse
We prove that if the non-self-adjoint scalar wave equation satisfies Huygens' principle on Petrov type III space-times, then it is equivalent to the conformally invariant scalar wa…
math-ph2005★ 3 cited
Nonexistence of Petrov type III Space-Times on which Weyl's Neutrino Equation or Maxwell's Equations satisfy Huygens' Principle
R. G. McLenaghan, F. D. Sasse
Extending previous results we show that there are no Petrov type III space-times on which either the Weyl neutrino equation or Maxwell's equations satisfy Huygens' principle. We pr…