The null condition and asymptotic expansions for the Einstein equations

Keywords

Null (SQL), Einstein, Einstein equations, Physics, Mathematical physics

References

• Space-time estimates for null forms and the local existence theoremSergiù Klainerman, Matei Machedon — 1993
• Construction de solutions radiatives approchées des equations d'EinsteinYvonne Choquet–Bruhat — 1969
• Global solutions of nonlinear hyperbolic equations for small initial dataDemetrios Christodoulou — 1986

Cited by

• Non strict and strict hyperbolic systems for the Einstein equationsYvonne Choquet–Bruhat — 2001
• Radiation field for Einstein vacuum equations with spacial dimension n≥ 4Fang Wang — 2013
• The weak null condition for Einstein's equationsHans Lindblad, Igor Rodnianski — 2003
• Global Existence for the Einstein Vacuum Equations in Wave CoordinatesHans Lindblad, Igor Rodnianski — 2003
• Diffractive nonlinear geometrical optics for variational wave equations and the Einstein equationsGiuseppe Alı̀, John K. Hunter — 2005
• ON THE NONLINEAR ASYMPTOTICS OF TRAVELLING GRAVITATIONAL WAVES IN THE HARMONIC GAUGENikodem Szpak — 2012
• On the Asymptotic Behavior of Solutions to the Einstein Vacuum Equations in Wave CoordinatesHans Lindblad — 2016
• Radiation Field for Einstein Vacuum EquationsFang Wang — 2010
• Global Stability of Minkowski Space for the Einstein–Vlasov System in the Harmonic GaugeHans Lindblad, M. J. Taylor — 2017
• Scattering from infinity for semilinear models of Einstein's equations satisfying the weak null conditionHans Lindblad, Volker Schlue — 2017
• The global stability of the Minkowski space-time in harmonic gaugeHans Lindblad, Igor Rodnianski — 2004
• The stability of the Minkowski space for the Einstein–Vlasov systemDavid Fajman, Jérémie Joudioux, Jacques Smulevici — 2017
• Scattering from infinity for semilinear wave equations satisfying the null condition or the weak null conditionHans Lindblad, Volker Schlue — 2023
• Global Stability of Minkowski Space for the Einstein–Maxwell–Klein–Gordon System in Generalized Wave CoordinatesChristopher Kauffman, Hans Lindblad — 2023
• Global existence of high-frequency solutions to a semi-linear wave equation with a null structureArthur Touati — 2021
• Geometric Optics Approximation for the Einstein Vacuum EquationsArthur Touati — 2022
• Burnett’s conjecture in general relativityArthur Touati — 2025
• The stability of Minkowski space and its influence on the mathematical analysis of General RelativityJacques Smulevici — 2025
• The Reverse Burnett Conjecture for Null DustsArthur Touati — 2024
• The global stability of Minkowski space-time in harmonic gaugeHans Lindblad, Igor Rodnianski — 2010

Related papers

• B-24: An Application of Solution-Generating Technique for Five-Dimensional Vacuum Einstein Equations(Part II: Poster Contributions, The Next Chapter in Einstein's Legacy)Yoshiyuki Morisawa — 2006
• On reductions of Einstein equationsKrzysztof Rózga — 1996
• On the Local Existence for the Characteristic Initial Value Problem in General RelativityJonathan Luk — 2011
• The general solution to the Einstein equations on a null surfaceSean A. Hayward — 1993
• On the local extension of the future null infinityJunbin Li, Xi-Ping Zhu — 2014
• Einstein-Yang-Mills equations in the double null frameworkPuskar Mondal, Shing–Tung Yau — 2026