@article{AIHPA_1996__65_3_253_0, author = {McLenaghan, R. G. and Sasse, F. D.}, title = {Nonexistence of {Petrov} type {III} space-times on which {Weyl's} neutrino equation or {Maxwell's} equations satisfy {Huygens'} principle}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {253--271}, publisher = {Gauthier-Villars}, volume = {65}, number = {3}, year = {1996}, mrnumber = {1420704}, zbl = {0869.53061}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1996__65_3_253_0/} }
TY - JOUR AU - McLenaghan, R. G. AU - Sasse, F. D. TI - Nonexistence of Petrov type III space-times on which Weyl's neutrino equation or Maxwell's equations satisfy Huygens' principle JO - Annales de l'I.H.P. Physique théorique PY - 1996 SP - 253 EP - 271 VL - 65 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1996__65_3_253_0/ LA - en ID - AIHPA_1996__65_3_253_0 ER -
%0 Journal Article %A McLenaghan, R. G. %A Sasse, F. D. %T Nonexistence of Petrov type III space-times on which Weyl's neutrino equation or Maxwell's equations satisfy Huygens' principle %J Annales de l'I.H.P. Physique théorique %D 1996 %P 253-271 %V 65 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1996__65_3_253_0/ %G en %F AIHPA_1996__65_3_253_0
McLenaghan, R. G.; Sasse, F. D. Nonexistence of Petrov type III space-times on which Weyl's neutrino equation or Maxwell's equations satisfy Huygens' principle. Annales de l'I.H.P. Physique théorique, Tome 65 (1996) no. 3, pp. 253-271. http://www.numdam.org/item/AIHPA_1996__65_3_253_0/
[1] Zum huygensschen Prinzip bei einigen Klassen spinorieller Feldgleichungen in gekrümmten Raum-Zeit-Manifaltigkeiten, Diss. A. Päd. Hochshule Erfurt/Mühlhausen, 1991.
,[2] Zur Gültigkeit des huygensschen Prinzips bei der Weyl-Gleichung und den homogenen Maxwellschen Gleichungen für Metriken vom Petrov-typ N, Wiss. Zeitschr. Päd. Hochsch. Erfurt/Mühlhausen, Math.-Naturwiss., Vol. 27, 1991, pp. 77-91.
and ,[3] Some new results on the validity of Huygens' principle for the scalar wave equation on a curved space-time. Article in Gravitation, Geometry and Relativistic Physics, Proceedings of the Journées Relativistes 1984, Aussois, France, edited by Laboratoire Gravitation et Cosmologie Relativistes. Institut Henri Poincaré, Lectures Notes in Physics, Vol. 212, Springer Verlag, Berlin, 1984. | MR | Zbl
and ,[4] 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
and ,[5] 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 | Zbl
and ,[6] An explicit determination of 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 | Zbl
and ,[7] An explicit determination of 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 | Zbl
and ,[8] NP: A Maple package for performing calculations in the Newman-Penrose formalism, Gen. Rel. Gravit., Vol. 19, 1987, pp. 623-635. | MR | Zbl
and ,[9] The automatic conversion of spinor equations to dyad form in MAPLE, Gen. Rel. Gravit., Vol. 24, 1992, pp. 911-928. | MR | Zbl
, and ,[10] Zur Gültigkeit des huygensschen Prinzips bei partiellen Differentialgleichungen von normalen hyperbolischen Typus, S.-B. Sachs. Akad. Wiss. Leipzig Math.-Natur K., Vol. 100, 1952, pp. 1-43. | MR | Zbl
,[11] Einige Sätze über huygenssche Differentialgleichungen, Wiss. Zeitschr. Karl Marx Univ., Math.-natu. Reihe Leipzig, Vol. 14, 1965, pp. 497-507. | MR | Zbl
,[12] Ein Beispiel einer nichttrivialen huygesschen Differentialgleichungen mit vier unabhängigen Variablen, Arch. Rational Mech. Anal., Vol. 18, 1965, pp. 103-106. | MR | Zbl
,[13] Maxwellsche Gleichungen und huygensches Prinzip I, Math. Nachr., Vol. 63, 1974, pp. 97-121. | MR | Zbl
and ,[14] Lectures on Cauchy's problem in linear differential equations, Yale University Press, New Haven, 1923. | JFM
,[15] Maxwell fields satisfying Huygens' principle, Proc. Cambridge Philos. Soc., Vol. 64, 1968, pp. 779-785.
,[16] 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 | Zbl
,[17] Complex recurrent space-times, Proc. Roy. Soc. London, Vol. A327, 1972, pp. 229-249. | MR | Zbl
and ,[18] On the validity of Huygens' principle for second order partial differential equations with four independent variables. Part I: Derivation of necessary conditios, Ann. Inst. Henri Poincaré, Vol. A20, 1974, pp. 153-188. | EuDML | Numdam | MR | Zbl
,[19] An explicit determination of the Petrov type D space-times on which Weyl's neutrino equation and Maxwell's equations satisfiy Huygens' principle, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 53, 1990, pp. 217-223. | EuDML | Numdam | MR | Zbl
and ,[20] Über selbstadjungierte Huygenssche Differentialgleichungen mit vier unabhängigen Variablen, Math. Nachr., Vol. 47, 1970, pp. 131-154. | MR | Zbl
,[21] Maxwellsche Gleichungen und huygensches Prinzip II, Math. Nachr., Vol. 73, 1974, pp. 19-36. | MR | Zbl
,[22] Cauchy-Problem und huygenssches Prinzip bei einigen Klassen spinorieller Feldleichungen I, Beitr. zur Analysis, Vol. 12, 1978, pp. 47-76. | MR | Zbl
,[23] Cauchy-Problem und huygenssches Prinzip bei einigen Klassen spinorieller Feldleichungen II, Beitr. zur Analisys, Vol. 13, 1979, pp. 147-177. | MR | Zbl
,[24] Huygens' principle on Petrov type-D space-times, Ann. Phys., Vol. 46, 1989, pp. 593-597. | MR | Zbl
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