The weak null condition and Kaluza–Klein spacetimes

DOI10.1142/S0219891618500091zbMath1394.35500arXiv1706.00026WikidataQ129591321 ScholiaQ129591321MaRDI QIDQ3177382

Zoe Wyatt

Publication date: 24 July 2018

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00026

zbMATH Keywords

Einstein equationsKaluza-Klein spacetimenon-linear wave equation

Mathematics Subject Classification ID

Kaluza-Klein and other higher-dimensional theories (83E15) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items

Slow decay of waves in gravitational solitons ⋮ Stable cosmological Kaluza-Klein spacetimes ⋮ Singularity theorems for warped products and the stability of spatial extra dimensions ⋮ The influence of Penrose's singularity theorem in general relativity ⋮ Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022 ⋮ Global stability of spacetimes with supersymmetric compactifications ⋮ Future stability of the 1  +  3 Milne model for the Einstein–Klein–Gordon system ⋮ Attractors of the Einstein-Klein-Gordon system ⋮ Asymptotic stability of Minkowski space-time with non-compactly supported massless Vlasov matter ⋮ Nonlinear wave equation in a cosmological Kaluza Klein spacetime

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The global nonlinear stability of Minkowski space for the Einstein equations in the presence of a massive field
• The global stability of the Minkowski spacetime solution to the Einstein-nonlinear system in wave coordinates
• The global stability of Minkowski space-time in harmonic gauge
• Instability of the Kaluza-Klein vacuum
• The weak null condition for Einstein's equations.
• Global existence for the Einstein vacuum equations in wave coordinates
• Global solutions of the Einstein-Maxwell equations
• Global aspects of the Cauchy problem in general relativity
• Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
• Global solutions of the Einstein–Maxwell equations in higher dimensions
• On “almost global” solutions to quasilinear wave equations in three space dimensions
• Global solutions of nonlinear hyperbolic equations for small initial data