Jérémie Joudioux - Hertz potentials and the decay of higher spin fields - Archive ouverte HAL Accéder directement au contenu
Vidéo Année : 2014

Jérémie Joudioux - Hertz potentials and the decay of higher spin fields

Afficher 

Jérémie Joudioux
  • Fonction : Orateur
  • PersonId : 864175
Fanny Bastien

Résumé

The study of the asymptotic behavior of higher spin fields has proven to be a key point in understanding the stability properties of the Einstein equations. Penrose derived in the 60s the asymptotic behavior of these higher spin fields from a representation by Hertz potentiels satisfying a wave equation and a decay Ansatz for the solutions of the wave equation. The purpose of this talk is to perform the construction by Penrose in the context of the Cauchy problem on Minkowski space­‐time for Maxwell fields and linearized gravity. Considering a Cauchy problem for Maxwell fields and linearized gravity with data in weighted Sobolev spaces, a Hertz potential is build from a generalization of the de Rham complex to arbitrary spin. The asymptotic behavior of these higher spin fields is then derived from the asymptotic behavior of the solutions of the wave equation.

Dates et versions

medihal-01319118 , version 1 (20-05-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01319118 , version 1

Citer

Jérémie Joudioux, Fanny Bastien. Jérémie Joudioux - Hertz potentials and the decay of higher spin fields : Summer School 2014 - Asymptotic analysis in general relativity. 2014. ⟨medihal-01319118⟩
663 Consultations
9 Téléchargements

Partager

Gmail Facebook X LinkedIn More