Exterior stability of Minkowski space in generalized harmonic gauge

DOI10.1007/s00205-023-01931-3arXiv2302.13804OpenAlexW4386997077MaRDI QIDQ6077888

Peter Hintz

Publication date: 27 September 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.13804

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Partial differential equations of mathematical physics and other areas of application (35Qxx) Partial differential equations on manifolds; differential operators (58Jxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The index of Dirac operators on incomplete edge spaces
• On the asymptotic behavior of solutions to the Einstein vacuum equations in wave coordinates
• A simple Nash-Moser implicit function theorem
• The global stability of Minkowski space-time in harmonic gauge
• Partial differential equations. III: Nonlinear equations.
• On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
• Einstein metrics with prescribed conformal infinity on the ball
• The weak null condition for Einstein's equations.
• The global non-linear stability of the Kerr-de Sitter family of black holes
• The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system
• Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes
• Global existence for the Einstein vacuum equations in wave coordinates
• The evolution problem in general relativity
• Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge
• The linear stability of the Schwarzschild solution to gravitational perturbations
• Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
• Stability of Minkowski space and polyhomogeneity of the metric
• Linear stability of slowly rotating Kerr black holes
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Elliptic theory of differential edge operators I
• Nonlinear nature of gravitation and gravitational-wave experiments
• Long time existence from interior gluing
• Einstein’s equations with asymptotically stable constraint propagation
• On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
• The Einstein-Klein-Gordon Coupled System
• Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
• Constraint damping in the Z4 formulation and harmonic gauge
• The stability of the Minkowski space for the Einstein-Vlasov system
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations
• Scattering from infinity for semilinear wave equations satisfying the null condition or the weak null condition
• Kerr stability for small angular momentum