The cohomogeneity one Einstein equations and Painlevé analysis

DOI10.1016/S0393-0440(00)00061-9zbMath0987.53017OpenAlexW1983053722MaRDI QIDQ5943184

McKenzie Y. K. Wang, Andrew S. Dancer

Publication date: 29 October 2001

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(00)00061-9

zbMATH Keywords

general relativityPainlevé analysiscohomogenity one Einstein equation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

Superpotentials and the cohomogeneity one Einstein equations, Painlevé analysis of the Ricci-flat ordinary differential equations associated with Aloff–Wallach spaces and U(1)-bundles over Fano products, Painlevé expansions and the Einstein equations: The two-summand case

Cites Work

• Kowalewski's asymptotic method, Kac-Moody Lie algebras and regularization
• Integrable cases of the Einstein equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• The cohomogeneity one Einstein equations from the Hamiltonian viewpoint
• Inhomogeneous Einstein metrics on complex line bundles