Analyzing time evolution of constraint equations of Einstein's equation

DOI10.14495/jsiaml.11.21zbMath1412.35330OpenAlexW2921784006WikidataQ125377864 ScholiaQ125377864MaRDI QIDQ3121439

Takuya Tsuchiya, Gen Yoneda, Ryosuke Urakawa

Publication date: 18 March 2019

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.11.21

zbMATH Keywords

eigenvaluenumerical stabilitynumerical relativityEinstein's equation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Numerical methods for discrete and fast Fourier transforms (65T50) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Einstein equations (35Q76)

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Cites Work

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• Constraint propagation in \((N+1)\)-dimensional space-time
• Hyperbolic formulations and numerical relativity: II. asymptotically constrained systems of Einstein equations
• Evolution of three-dimensional gravitational waves: Harmonic slicing case
• Numerical integration of Einstein’s field equations
• Canonical variables, expression for energy, and the criteria for radiation in general relativity
• Adjusted ADM systems and their expected stability properties: constraint propagation analysis in Schwarzschild spacetime

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