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Zbl 0956.83005
Anderson, W.G.; McLenaghan, R.G.; Sasse, F.D.
Huygens' principle for the non-self-adjoint scalar wave equation on Petrov type III space-times. (English)
[J] Ann. Inst. Henri Poincaré, Phys. Théor. 70, No.3, 259-276 (1999). ISSN 0246-0211

Summary: 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.

MSC 2000:: *83C05 Einstein's equations
83C60 Spinor and twistor methods in general retativity
35Q75 PDE in relativity
83C20 Classes of solutions of equations in general relativity
53Z05 Appl. of differential geometry to physics

Keywords: scalar wave equation; Petrov type III space-times; Huygens' principle

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