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Pré-Publication, Document De Travail Année : 2023

THE GLOBAL STABILITY OF THE KALUZA-KLEIN SPACETIME

Résumé

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.
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Dates et versions

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

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  • HAL Id : hal-04269692 , version 1

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