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Zbl 0814.53060
Wünsch, V.
Huygens' principle on Petrov type $N$ space-times. (English)
[J] Ann. Inst. Henri Poincaré, Phys. Théor. 61, No.1, 87-102 (1994). ISSN 0246-0211

There is a conjecture that Huygens' principle holds for the scalar wave equation or Maxwell's equations or Weyl's equation on a four-dimensional spacetime if and only if the latter is conformal to a plane gravitational wave. Some group of authors pursues the strategy to consider the conjecture separately for each Petrov type. The present paper just proves it for Maxwell's equations and Weyl's equation assuming Petrov type $N$. Methods developed by the author in earlier papers or by others come to use.
[R.Schimming (Greifswald)]

MSC 2000:: *53Z05 Appl. of differential geometry to physics
83C22 Electromagnetic fields, Einstein-Maxwell equations
35L15 Second order hyperbolic equations, initial value problems

Keywords: Huygens' principle; scalar wave equation; Maxwell's equations; Weyl's equation; plane gravitational wave; Petrov type

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