The Weak Null Condition and Kaluza-Klein Spacetimes

Abstract

In this paper we prove the non-linear stability of a system of non-linear wave equations satisfying the weak null condition. In particular, this includes the case of the non-linear stability of Minkowski spacetime times a $d$-torus subject to perturbations depending only on the non-compact coordinates. Our argument very closely follows the proof of the non-linear stability of Minkowski spacetime in [Lindblad-Rodnianski-2010].

28 pages, 1 figure

References in corpus (1)

• Global solutions of the Einstein-Maxwell equations in higher dimensions

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