Hyperbolic methods for Einstein's equations

DOI10.12942/lrr-1998-3zbMath1024.83004OpenAlexW2056897108WikidataQ39133208 ScholiaQ39133208MaRDI QIDQ1397121

Oscar A. Reula

Publication date: 17 July 2003

Published in: Living Reviews in Relativity (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223442

zbMATH Keywords

Einstein's equationsgeneral relativityevolutionary aspects

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) PDEs in connection with relativity and gravitational theory (35Q75) Hyperbolic equations and hyperbolic systems (35L99) Hyperbolic equations on manifolds (58J45)

Related Items (15)

Perron's method for quasilinear hyperbolic systems. I. ⋮ Extraction of gravitational waves in numerical relativity ⋮ Well-posed constraint-preserving boundary conditions for the AA formulation of Einstein's equations ⋮ Well-posed initial-boundary evolution in general relativity ⋮ Symmetric hyperbolic systems for a large class of fields in arbitrary dimension ⋮ On the locally rotationally symmetric Einstein-Maxwell perfect fluid ⋮ On the evolution equations for a self-gravitating charged scalar field ⋮ Evolution equations for a wide range of Einstein-matter systems ⋮ Unnamed Item ⋮ Solutions of hyperbolic stochastic PDEs on bounded and unbounded domains ⋮ On the hyperbolicity and stability of \(3+1\) formulations of metric \(f(R)\) gravity ⋮ On the evolution equations for ideal magnetohydrodynamics in curved spacetime ⋮ Generalized harmonic formulation in spherical symmetry ⋮ A necessary condition ensuring the strong hyperbolicity of first-order systems ⋮ K-dynamics: well-posed 1+1 evolutions in K-essence

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