Huygens' Principle for the Non-Self-Adjoint Scalar Wave Equation on Petrov type III Space-Times

Abstract

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 wave equation.

17 pages

References in corpus (1)

• Nonexistence of Petrov type III Space-Times on which Weyl's Neutrino Equation or Maxwell's Equations satisfy Huygens' Principle

Cited by in corpus (1)

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