Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates

DOI10.1088/0264-9381/24/23/017zbMath1130.83004arXiv0707.4188OpenAlexW3105648995MaRDI QIDQ5431738

Olivier Sarbach, Jeffrey Winicour, Heinz-Otto Kreiss, Oscar A. Reula

Publication date: 21 December 2007

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.4188

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (11)

Boundary conditions for coupled quasilinear wave equations with application to isolated systems ⋮ The initial boundary value problem for free-evolution formulations of general relativity ⋮ Constraint-preserving boundary conditions for the linearized Baumgarte-Shapiro-Shibata-Nakamura formulation ⋮ A no-boundary method for numerical relativity ⋮ The initial boundary value problem and quasi-local Hamiltonians in general relativity ⋮ THE INITIAL-BOUNDARY VALUE PROBLEM IN GENERAL RELATIVITY ⋮ Characteristic evolution and matching ⋮ Characteristic evolution and matching ⋮ Geometrization of metric boundary data for Einstein's equations ⋮ AN INTRODUCTION TO WELL-POSEDNESS AND FREE-EVOLUTION ⋮ Continuum and discrete initial-boundary value problems and Einstein's field equations

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