Integral Formula for the Characteristic Cauchy Problem on a curved Background - Université de Bretagne Occidentale
Pré-Publication, Document De Travail Année : 2009

Integral Formula for the Characteristic Cauchy Problem on a curved Background

Jérémie Joudioux
  • Fonction : Auteur
  • PersonId : 864175

Résumé

We give a local integral formula, valid on general curved space-times, for the characteristic Cauchy problem for the Dirac equation with arbitrary spin using the method developed by Friedlander in his book "the wave equation on a curved spacetime" (1975). The results obtained by Penrose in the flat case in "Null hypersurface initial data for classical fields of arbitrary spin for general relativity" (Gen. Rel. Grav 1980) are recovered directly. It is expected that this method can be used to obtain sharp estimates for the characteristic Cauchy problem for the Dirac equation.
Fichier principal
Vignette du fichier
reprise4.pdf (413.26 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00426219 , version 1 (23-10-2009)

Identifiants

Citer

Jérémie Joudioux. Integral Formula for the Characteristic Cauchy Problem on a curved Background. 2009. ⟨hal-00426219⟩
144 Consultations
373 Téléchargements

Altmetric

Partager

More