The global stability of the Kaluza-Klein spacetime


Nom de l'orateur
Cécile Huneau
Etablissement de l'orateur
Ecole Polytechnique
Date et heure de l'exposé
Lieu de l'exposé
salle des séminaires
In this talk, I will present a recent work in collaboration with Annalaura Stingo and Zoe Wyatt, where we show the classical global stability, for Einstein equations, of the flat Kaluza–Klein spacetime, which corresponds to Minkowski spacetime in $R^{1+4}$ with one direction compactified on a circle. We consider small perturbations which are allowed to vary in all directions including the compact direction. These perturbations lead to the creation of massless modes and Klein–Gordon modes. On the analytic side, this leads to a PDE system coupling wave equations to an infinite sequence of Klein–Gordon equations with different masses. The techniques we use are based purely in physical space, using the vectorfield method.