The global nonlinear stability of Minkowski space for the Einstein equations in the presence of a massive field

DOI10.1016/j.crma.2016.07.008zbMath1347.83008arXiv1507.02715OpenAlexW2964344770MaRDI QIDQ309778

Philippe G. LeFloch, Yue Ma

Publication date: 7 September 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02715

zbMATH Keywords

Minkowski spaceEinstein equationswave equationsKlein-Gordon equationsglobal nonlinear stabilityself-gravitating massive scalar fields

Mathematics Subject Classification ID

Wave equation (35L05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Special relativity (83A05) Einstein equations (35Q76)

Related Items (7)

The weak null condition and Kaluza–Klein spacetimes ⋮ Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds ⋮ Nonlinear stability of self-gravitating massive fields. A wave-Klein–Gordon model ⋮ Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime ⋮ Cauchy problem on a characteristic cone for the Einstein-Vlasov system. I: The initial data constraints ⋮ Characteristic Cauchy problem on the light cone for the Einstein–Vlasov system in temporal gauge ⋮ Global regularity of solutions of the Einstein-Klein-Gordon system: A review

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model
• Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions
• The global stability of Minkowski space-time in harmonic gauge
• Lectures on nonlinear hyperbolic differential equations
• Global existence for the Einstein vacuum equations in wave coordinates
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
• Normal forms and quadratic nonlinear Klein-Gordon equations
• Global existence for nonlinear wave equations
• The Hyperboloidal Foliation Method

This page was built for publication: The global nonlinear stability of Minkowski space for the Einstein equations in the presence of a massive field