An explicit determination of the Petrov type D spacetimes on which Weyl's neutrino equation and Maxwell's equations satisfy Huygens' principle
Annales de l'I.H.P. Physique théorique, Volume 53 (1990) no. 2, p. 217-223
@article{AIHPA_1990__53_2_217_0,
     author = {McLenaghan, R. G. and Williams, G. C.},
     title = {An explicit determination of the Petrov type D spacetimes on which Weyl's neutrino equation and Maxwell's equations satisfy Huygens' principle},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {53},
     number = {2},
     year = {1990},
     pages = {217-223},
     zbl = {0709.53053},
     mrnumber = {1079778},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1990__53_2_217_0}
}
McLenaghan, R. G.; Williams, G. C. An explicit determination of the Petrov type D spacetimes on which Weyl's neutrino equation and Maxwell's equations satisfy Huygens' principle. Annales de l'I.H.P. Physique théorique, Volume 53 (1990) no. 2, pp. 217-223. http://www.numdam.org/item/AIHPA_1990__53_2_217_0/

[1] J. Carminati and R.G. Mclenaghan, Determination of All Petrov type N Space-Times on which the Conformally Invariant Scalar Wave Equation Satisfies Huygens' Principle, Phys. Lett., Vol. 105A, 1984, pp. 351-354. | MR 766032

[2] J. Carminati and R.G. Mclenaghan, An Explicit Determination of the Petrov Type N Space-Times on which the Conformally Invariant Scalar Wave Equation Satisfies Huygens' Principle, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 44, 1986, pp. 115- 153. | Numdam | MR 839281 | Zbl 0595.35067

[3] J. Carminati and R.G. Mclenaghan, An Explicit Determination of the Space-times on which the Conformally Invariant Scalar Wave Equation Satisfies Huygens' Principle, Part II: Petrov Type D Space-Times, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 47, 1987, pp. 337-354. | Numdam | MR 933681 | Zbl 0694.35074

[4] J. Carminati and R.G. Mclenaghan, An Explicit Determination of the Space-Times on which the Conformally Invariant Scalar Wave Equation Satisfies Huygens' Principle, Part III: Petrov type III space-times, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 48, 1988, pp. 77-96. | Numdam | MR 947160 | Zbl 0706.35131

[5] P. Günther Zur Gültigkeit des Huygensschen Princips bei partiellen Differentialgleichungen von normalen hyperbolischen Typus, S.-B. Sachs. Akad. Wiss. Leipzig Math.- Natur K., Vol. 100, 1952, pp. 1-43. | MR 50136 | Zbl 0046.32201

[6] P. Günther, Ein Beispiel einer nichttrivalen Huygensschen Differentialgleichungen mit vier unabhängigen Variablen, Arch. Rational Mech. Anal., Vol. 18, 1965, pp. 103-106. | MR 174865 | Zbl 0125.05404

[7] P. Günther, Einige Sätze über Huygenssche Differentialgleichungen, Wiss. Zeitschr. Karl Marx Univ., Math.-Natu. Reihe Leipzig, Vol. 14, 1965, pp. 498-507. | MR 198012 | Zbl 0173.12203

[8] P. Günther and V. Wünsch, Maxwellsche Gleichungen und Huygenssches Prinzip I, Math. Nach., Vol. 63, 1974, pp.97-121. | MR 363377 | Zbl 0288.35042

[9] J. Hadamard, Lectures on Cauchy's problem in linear partial differential equations, Yale University Press, New Haven, 1923. | JFM 49.0725.04

[10] C.N. Kozameh, E.T. Newman and K.P. Tod, Conformal Einstein Spaces, General Relativity and Gravitation, Vol. 17, 1985, pp. 343-352. | MR 788800 | Zbl 0564.53011

[11] H.P. Künzle, Maxwell Fields Satisfying Huygens' Principle, Proc. Cambridge Philos. Soc., Vol. 64, 1968, pp. 770-785.

[12] R.G. Mclenaghan, An Explicit Determination of the Empty Space-Times on which the Wave Equation Satisfies Huygens' Principle, Proc. Cambridge Philos. Soc., Vol. 65, 1969, pp. 139-155. | MR 234700 | Zbl 0182.13403

[13] R.G. Mclenaghan and J. Leroy. Complex recurrent space-times, Proc. R. Soc. Lond., Vol. A 327, 1972, pp. 229-249. | MR 309517 | Zbl 0243.53030

[14] R.G. Mclenaghan, On the Validity of Huygens' Principle for Second Order Partial Differential Equations with Four Independent Variables. Part I: Derivation of Necessary Conditions, Ann. Inst. Henri Poincaré, Vol. A20, 1974, pp. 153-188. | Numdam | MR 361452 | Zbl 0287.35058

[15] R.G. Mclenaghan and T.F. Walton, An Explicit Determination of the Non-Self-Adjoint Wave Equations on Curved Space-Time that Satisfy Huygens' Principle, Part I: Petrov Type N. Background Space-Times, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 48, 1988, pp. 267-280. | Numdam | MR 950268 | Zbl 0645.53047

[16] B. Rinke and V. Wünsch, Zum Huygensschen Prinzip bei der skalaren Wellengleichung, Beitr. Analysis, Vol. 18, 1981, pp.43-75. | MR 650138 | Zbl 0501.53010

[17] V. Wünsch, Über selbstadjungierte Huygenssche Differentialgleichungen mit vier unabhängigen Variablen, Math. Nachr., Vol. 47, 1970, pp. 131-154. | MR 298221 | Zbl 0211.40803

[18] V. Wünsch, Cauchy-Problem und Huygenssches Prinzip bei einigen Klassen spinorieller Feldgleichungen I, Beitr. Analysis, Vol. 12, 1978, pp. 47-76. | MR 507097 | Zbl 0448.58022

[19] V. Wünsch, Cauchy-problem und Huygenssches Prinzip bei einigen Klassen spinorieller Feldgleichungen II, Beitr. Analysis, Vol. 13, 1979, pp. 147-177. | MR 536225 | Zbl 0467.35067

[20] V. Wünsch, Huygens' Principle on Petrov Type-D Space-times, Ann. Phys., Vol. 46, 1989, pp. 593-597. | MR 1051239 | Zbl 0697.53027