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

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.

22 pages

References in corpus (2)

• Nonexistence of Petrov type III Space-Times on which Weyl's Neutrino Equation or Maxwell's Equations satisfy Huygens' Principle
• Huygens' Principle for the Non-Self-Adjoint Scalar Wave Equation on Petrov type III Space-Times