CONSTRUCTING HYPERBOLIC SYSTEMS IN THE ASHTEKAR FORMULATION OF GENERAL RELATIVITY

DOI10.1142/S0218271800000037zbMath0974.83004arXivgr-qc/9901053OpenAlexW2021873041MaRDI QIDQ2711005

Gen Yoneda, Hisa-aki Shinkai

Publication date: 2 May 2001

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9901053

zbMATH Keywords

symmetric hyperbolic systemsreality conditionsweakly hyperbolicgauge conditionsdiagonalizable hyperbolicLorentzian vacuum spacetime

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Hyperbolic equations on manifolds (58J45)

Related Items (1)

Numerical relativity and compact binaries

Cites Work

• Hyperbolicity of the 3+1 system of Einstein equations
• On the dynamics of Einstein's equations in the Ashtekar formulation
• On the Newtonian limit of general relativity
• The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I
• On the regular and the asymptotic characteristic initial value problem for Einstein’s vacuum field equations
• Hyperbolic evolution system for numerical relativity
• Symmetric Hyperbolic System in the Ashtekar Formulation
• Einstein's Equation in Ashtekar's Variables Constitutes a Symmetric Hyperbolic System
• The Cauchy problem and the initial boundary value problem in numerical relativity
• Constraints and reality conditions in the Ashtekar formulation of general relativity
• Hyperbolic reductions for Einstein's equations

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