The conformal Einstein field equations with massless Vlasov matter

DOI10.5802/aif.3414zbMath1487.35364arXiv1903.12251OpenAlexW3130830230MaRDI QIDQ2073615

Maximilian Thaller, Jérémie Joudioux, Juan Antonio Valiente Kroon

Publication date: 3 February 2022

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.12251

zbMATH Keywords

Vlasov equationsymmetric hyperbolic systemstability problemsEinstein conformal field equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Einstein equations (35Q76) Vlasov equations (35Q83) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (2)

An introduction to the relativistic kinetic theory on curved spacetimes ⋮ On almost Ehlers–Geren–Sachs theorems

Cites Work

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• The extended conformal Einstein field equations with matter: the Einstein-Maxwell field
• The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model
• Local existence and uniqueness theory of the Vlasov-Maxwell system
• On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
• On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system
• Isotropic cosmological singularities. II: The Einstein-Vlasov system
• The evolution problem in general relativity
• Asymptotic stability of Minkowski space-time with non-compactly supported massless Vlasov matter
• Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge
• A vector field method for relativistic transport equations with applications
• On the asymptotics for the vacuum Einstein constraint equations
• Relativistic transport theory
• Problème de Cauchy pour le système intégro-différentiel d'Einstein-Liouville. (Cauchy problem for the Einstein-Liouville integro-differential system)
• The nonlinear stability of the trivial solution to the Maxwell-Born-Infeld system
• On the conformal structure of the extremal Reissner–Nordström spacetime
• Conformal Methods in General Relativity
• A NOTE ON THE COLLAPSE OF SMALL DATA SELF-GRAVITATING MASSLESS COLLISIONLESS MATTER
• Existence of non-trivial, vacuum, asymptotically simple spacetimes
• General relativistic scalar-field models and asymptotic flatness
• The geometry of the tangent bundle and the relativistic kinetic theory of gases
• The Einstein-Vlasov system/kinetic theory

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