Nonexistence of Petrov type III Space-Times on which Weyl's Neutrino Equation or Maxwell's Equations satisfy Huygens' Principle
McLenaghan, R. G. ; Sasse, F. D.
arXiv, 0504040 / Harvested from arXiv
Text on arXiv
Extending previous results we show that there are no Petrov type III space-times on which either the Weyl neutrino equation or Maxwell's equations satisfy Huygens' principle. We prove the result by using Maple's NPspinor package to convert the five-index necessary condition obtained by Alvarez and Wunsch to dyad form. The integrability conditions of the problem lead to a system of polynomial equations. We then apply Maple's grobner package to show that this system has no admissible solutions.
Publié le : 2005-04-12
Classification:  Mathematical Physics,  35L05, 35L15 
@article{0504040,
     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 = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504040}
}

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. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504040/