Abstract

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 vector field method.