An explicit determination of the Petrov type D spacetimes on which Weyl's neutrino equation and Maxwell's equations satisfy Huygens' principle
R. G. McLenaghan; G. C. Williams
Annales de l'I.H.P. Physique théorique (1990)
- Volume: 53, Issue: 2, page 217-223
- ISSN: 0246-0211
Access Full Article
topHow to cite
topMcLenaghan, R. G., and 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 53.2 (1990): 217-223. <http://eudml.org/doc/76501>.
@article{McLenaghan1990,
author = {McLenaghan, R. G., Williams, G. C.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {2},
pages = {217-223},
publisher = {Gauthier-Villars},
title = {An explicit determination of the Petrov type D spacetimes on which Weyl's neutrino equation and Maxwell's equations satisfy Huygens' principle},
url = {http://eudml.org/doc/76501},
volume = {53},
year = {1990},
}
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
PB - Gauthier-Villars
VL - 53
IS - 2
SP - 217
EP - 223
LA - eng
UR - http://eudml.org/doc/76501
ER -
References
top- [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. Zbl0694.35074MR766032
- [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. Zbl0595.35067MR839281
- [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. Zbl0694.35074MR933681
- [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. Zbl0706.35131MR947160
- [5] P. GüntherZur 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. Zbl0046.32201MR50136
- [6] P. Günther, Ein Beispiel einer nichttrivalen Huygensschen Differentialgleichungen mit vier unabhängigen Variablen, Arch. Rational Mech. Anal., Vol. 18, 1965, pp. 103-106. Zbl0125.05404MR174865
- [7] P. Günther, Einige Sätze über Huygenssche Differentialgleichungen, Wiss. Zeitschr. Karl Marx Univ., Math.-Natu. Reihe Leipzig, Vol. 14, 1965, pp. 498-507. Zbl0173.12203MR198012
- [8] P. Günther and V. Wünsch, Maxwellsche Gleichungen und Huygenssches Prinzip I, Math. Nach., Vol. 63, 1974, pp.97-121. Zbl0288.35042MR363377
- [9] J. Hadamard, Lectures on Cauchy's problem in linear partial differential equations, Yale University Press, New Haven, 1923. Zbl49.0725.04JFM49.0725.04
- [10] C.N. Kozameh, E.T. Newman and K.P. Tod, Conformal Einstein Spaces, General Relativity and Gravitation, Vol. 17, 1985, pp. 343-352. Zbl0564.53011MR788800
- [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. Zbl0182.13403MR234700
- [13] R.G. Mclenaghan and J. Leroy. Complex recurrent space-times, Proc. R. Soc. Lond., Vol. A 327, 1972, pp. 229-249. Zbl0243.53030MR309517
- [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. Zbl0287.35058MR361452
- [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. Zbl0645.53047MR950268
- [16] B. Rinke and V. Wünsch, Zum Huygensschen Prinzip bei der skalaren Wellengleichung, Beitr. Analysis, Vol. 18, 1981, pp.43-75. Zbl0501.53010MR650138
- [17] V. Wünsch, Über selbstadjungierte Huygenssche Differentialgleichungen mit vier unabhängigen Variablen, Math. Nachr., Vol. 47, 1970, pp. 131-154. Zbl0211.40803MR298221
- [18] V. Wünsch, Cauchy-Problem und Huygenssches Prinzip bei einigen Klassen spinorieller Feldgleichungen I, Beitr. Analysis, Vol. 12, 1978, pp. 47-76. Zbl0448.58022MR507097
- [19] V. Wünsch, Cauchy-problem und Huygenssches Prinzip bei einigen Klassen spinorieller Feldgleichungen II, Beitr. Analysis, Vol. 13, 1979, pp. 147-177. Zbl0467.35067MR536225
- [20] V. Wünsch, Huygens' Principle on Petrov Type-D Space-times, Ann. Phys., Vol. 46, 1989, pp. 593-597. Zbl0697.53027MR1051239
Citations in EuDML Documents
top- V. Wünsch, Huygens' principle on Petrov type N space-times
- W. G. Anderson, R. G. McLenaghan, F. D. Sasse, Huygens' principle for the non-self-adjoint scalar wave equation on Petrov type III space-times
- R. G. McLenaghan, F. D. Sasse, Nonexistence of Petrov type III space-times on which Weyl's neutrino equation or Maxwell's equations satisfy Huygens' principle
- V. Wünsch, Moments and Huygens' principle for conformally invariant field equations in curved space-times
- J. Carminati, S. R. Czapor, R. G. McLenaghan, G. C. Williams, Consequences of the validity of Huygens' principle for the conformally invariant scalar wave equation, Weyl's neutrino equation and Maxwell's equations on Petrov type II space-times
- S. R. Czapor, R. G. McLenaghan, F. D. Sasse, Complete solution of Hadamard's problem for the scalar wave equation on Petrov type III space-times
- W. G. Anderson, R. G. McLenaghan, On the validity of Huygens' principle for second order partial differential equations with four independent variables. II. A sixth necessary condition
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.