A MODEL PROBLEM FOR THE INITIAL-BOUNDARY VALUE FORMULATION OF EINSTEIN'S FIELD EQUATIONS

DOI10.1142/S0219891605000488zbMath1075.35094arXivgr-qc/0409027MaRDI QIDQ5314532

Olivier Sarbach, Oscar A. Reula

Publication date: 5 September 2005

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0409027

zbMATH Keywords

Hilbert spaceMinkowski spaceMaxwell's equationsconstrained evolution system

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (8)

Boundary conditions for constrained hyperbolic systems of partial differential equations ⋮ WELL-POSED INITIAL-BOUNDARY VALUE PROBLEM FOR A CONSTRAINED EVOLUTION SYSTEM AND RADIATION-CONTROLLING CONSTRAINT-PRESERVING BOUNDARY CONDITIONS ⋮ Constraint-preserving boundary conditions for the linearized Baumgarte-Shapiro-Shibata-Nakamura formulation ⋮ ON BOUNDARY CONDITIONS FOR FIRST-ORDER SYMMETRIC HYPERBOLIC SYSTEMS WITH CONSTRAINTS ⋮ Definition and stability of Lorentzian manifolds with distributional curvature ⋮ BOUNDARY CONDITIONS FOR EINSTEIN'S FIELD EQUATIONS: MATHEMATICAL AND NUMERICAL ANALYSIS ⋮ AN INTRODUCTION TO WELL-POSEDNESS AND FREE-EVOLUTION ⋮ Continuum and discrete initial-boundary value problems and Einstein's field equations

Cites Work

• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• An introduction to partial differential equations
• The initial boundary value problem for Einstein's vacuum field equation
• Well posed constraint-preserving boundary conditions for the linearized Einstein equations
• Well-posed initial-boundary evolution in general relativity
• A remedy for constraint growth in numerical relativity: the Maxwell case
• Evolution of three-dimensional gravitational waves: Harmonic slicing case
• Numerical integration of Einstein’s field equations
• The null–timelike boundary problem for Maxwell's equations in Minkowski space
• Fixing Einstein's Equations
• The Cauchy problem and the initial boundary value problem in numerical relativity
• Detecting ill posed boundary conditions in general relativity

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