English

The Weak Null Condition and Kaluza-Klein Spacetimes

General Relativity and Quantum Cosmology 2019-01-30 v1 Analysis of PDEs

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 dd-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].

Keywords

Cite

@article{arxiv.1706.00026,
  title  = {The Weak Null Condition and Kaluza-Klein Spacetimes},
  author = {Zoe Wyatt},
  journal= {arXiv preprint arXiv:1706.00026},
  year   = {2019}
}

Comments

28 pages, 1 figure

R2 v1 2026-06-22T20:05:13.931Z