THE GLOBAL STABILITY OF THE KALUZA-KLEIN SPACETIME - Département de mathématiques Access content directly
Preprints, Working Papers, ... Year : 2023

THE GLOBAL STABILITY OF THE KALUZA-KLEIN SPACETIME

Abstract

In this paper we show the classical global stability 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.
Fichier principal
Vignette du fichier
2307.15267.pdf (900.63 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04269692 , version 1 (03-11-2023)

Identifiers

  • HAL Id : hal-04269692 , version 1

Cite

Cécile Huneau, Annalaura Stingo, Zoe Wyatt. THE GLOBAL STABILITY OF THE KALUZA-KLEIN SPACETIME. 2023. ⟨hal-04269692⟩
21 View
17 Download

Share

Gmail Mastodon Facebook X LinkedIn More