Einstein boundary conditions for the 3+1 Einstein equations

DOI10.1103/PhysRevD.68.044014zbMath1244.83006arXivgr-qc/0302071OpenAlexW2028014019MaRDI QIDQ2903570

Simonetta Frittelli, Roberto Gómez

Publication date: 10 August 2012

Published in: Physical Review D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0302071

zbMATH Keywords

Einstein equations

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (8)

Well-posed constraint-preserving boundary conditions for the AA formulation of Einstein's equations ⋮ Boundary conditions for constrained hyperbolic systems of partial differential equations ⋮ Constraint-preserving boundary conditions for the linearized Baumgarte-Shapiro-Shibata-Nakamura formulation ⋮ Characteristic evolution and matching ⋮ ON BOUNDARY CONDITIONS FOR FIRST-ORDER SYMMETRIC HYPERBOLIC SYSTEMS WITH CONSTRAINTS ⋮ Characteristic evolution and matching ⋮ Characteristic evolution and matching ⋮ Continuum and discrete initial-boundary value problems and Einstein's field equations

Cites Work

• Numerical relativity and compact binaries
• Numerical stability of a new conformal-traceless 3 $plus$ 1 formulation of the Einstein equation
• Evolution of three-dimensional gravitational waves: Harmonic slicing case
• Boundary conditions for hyperbolic formulations of the Einstein equations
• Colliding black holes: The close limit
• Colliding Black Holes: How Far Can the Close Approximation Go?
• Fixing Einstein's Equations
• The Cauchy problem and the initial boundary value problem in numerical relativity

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