BOUNDARY CONDITIONS FOR EINSTEIN'S FIELD EQUATIONS: MATHEMATICAL AND NUMERICAL ANALYSIS

DOI10.1142/S0219891605000634zbMath1089.35078arXivgr-qc/0412115MaRDI QIDQ3373067

Olivier Sarbach, Manuel Tiglio

Publication date: 13 March 2006

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0412115

zbMATH Keywords

well-posednessnumerical relativityinitial-boundary value formulationLaplace techniques

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (11)

Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant ⋮ Well-posed constraint-preserving boundary conditions for the AA formulation of Einstein's equations ⋮ Boundary conditions for constrained hyperbolic systems of partial differential equations ⋮ The initial boundary value problem for free-evolution formulations of general relativity ⋮ 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 ⋮ REGULARITY OF SOLUTIONS TO CHARACTERISTIC INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIZABLE SYSTEMS ⋮ The initial boundary value problem for the Einstein equations with totally geodesic timelike boundary ⋮ Colliding Black Holes and Gravitational Waves ⋮ Continuum and discrete initial-boundary value problems and Einstein's field equations

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