@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},
pages = {217--223},
year = {1990},
publisher = {Gauthier-Villars},
volume = {53},
number = {2},
mrnumber = {1079778},
zbl = {0709.53053},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1990__53_2_217_0/}
}
TY - JOUR AU - McLenaghan, R. G. AU - Williams, G. C. TI - An explicit determination of the Petrov type D spacetimes on which Weyl's neutrino equation and Maxwell's equations satisfy Huygens' principle JO - Annales de l'I.H.P. Physique théorique PY - 1990 SP - 217 EP - 223 VL - 53 IS - 2 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1990__53_2_217_0/ LA - en ID - AIHPA_1990__53_2_217_0 ER -
%0 Journal Article %A McLenaghan, R. G. %A Williams, G. C. %T An explicit determination of the Petrov type D spacetimes on which Weyl's neutrino equation and Maxwell's equations satisfy Huygens' principle %J Annales de l'I.H.P. Physique théorique %D 1990 %P 217-223 %V 53 %N 2 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPA_1990__53_2_217_0/ %G en %F 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, Tome 53 (1990) no. 2, pp. 217-223. https://www.numdam.org/item/AIHPA_1990__53_2_217_0/
[1] and , 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
[2] and , 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. | Zbl | MR | Numdam
[3] and , 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. | Zbl | MR | Numdam
[4] and , 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. | Zbl | MR | Numdam
[5] 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. | Zbl | MR
[6] , Ein Beispiel einer nichttrivalen Huygensschen Differentialgleichungen mit vier unabhängigen Variablen, Arch. Rational Mech. Anal., Vol. 18, 1965, pp. 103-106. | Zbl | MR
[7] , Einige Sätze über Huygenssche Differentialgleichungen, Wiss. Zeitschr. Karl Marx Univ., Math.-Natu. Reihe Leipzig, Vol. 14, 1965, pp. 498-507. | Zbl | MR
[8] and , Maxwellsche Gleichungen und Huygenssches Prinzip I, Math. Nach., Vol. 63, 1974, pp.97-121. | Zbl | MR
[9] , Lectures on Cauchy's problem in linear partial differential equations, Yale University Press, New Haven, 1923. | JFM
[10] , and , Conformal Einstein Spaces, General Relativity and Gravitation, Vol. 17, 1985, pp. 343-352. | Zbl | MR
[11] , Maxwell Fields Satisfying Huygens' Principle, Proc. Cambridge Philos. Soc., Vol. 64, 1968, pp. 770-785.
[12] , 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. | Zbl | MR
[13] and . Complex recurrent space-times, Proc. R. Soc. Lond., Vol. A 327, 1972, pp. 229-249. | Zbl | MR
[14] , 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. | Zbl | MR | Numdam
[15] and , 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. | Zbl | MR | Numdam
[16] and , Zum Huygensschen Prinzip bei der skalaren Wellengleichung, Beitr. Analysis, Vol. 18, 1981, pp.43-75. | Zbl | MR
[17] , Über selbstadjungierte Huygenssche Differentialgleichungen mit vier unabhängigen Variablen, Math. Nachr., Vol. 47, 1970, pp. 131-154. | Zbl | MR
[18] , Cauchy-Problem und Huygenssches Prinzip bei einigen Klassen spinorieller Feldgleichungen I, Beitr. Analysis, Vol. 12, 1978, pp. 47-76. | Zbl | MR
[19] , Cauchy-problem und Huygenssches Prinzip bei einigen Klassen spinorieller Feldgleichungen II, Beitr. Analysis, Vol. 13, 1979, pp. 147-177. | Zbl | MR
[20] , Huygens' Principle on Petrov Type-D Space-times, Ann. Phys., Vol. 46, 1989, pp. 593-597. | Zbl | MR





