Integrable cases of the Einstein equations

DOI10.1007/s002200050755zbMath0958.83007OpenAlexW1972917729MaRDI QIDQ1969105

McKenzie Y. K. Wang, Andrew S. Dancer

Publication date: 16 April 2001

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050755

zbMATH Keywords

Einstein equationsHamiltonian systemRicci-flat manifold

Mathematics Subject Classification ID

Hamilton's equations (70H05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (9)

Superpotentials and the cohomogeneity one Einstein equations ⋮ Metrics with prescribed Ricci curvature near the boundary of a manifold ⋮ Classifying superpotentials: three summands case ⋮ Painlevé expansions and the Einstein equations: The two-summand case ⋮ The Ricci flow on domains in cohomogeneity one manifolds ⋮ Ricci-flat warped products and Painlevé analysis ⋮ The cohomogeneity one Einstein equations and Painlevé analysis ⋮ Classification of superpotentials ⋮ The Dirichlet problem for the prescribed Ricci curvature equation on cohomogeneity one manifolds

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