Integrability of multicomponent models in multidimensional cosmology

DOI10.1023/A:1018847419531zbMath0871.58052OpenAlexW1630001246MaRDI QIDQ1361853

V. R. Gavrilov, U. Kasper, V. D. Ivashchuk, V. N. Mel'nikov

Publication date: 26 August 1997

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1018847419531

zbMATH Keywords

integrabilityEinstein equationsToda latticesmultidimensional cosmological model

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items (4)

2-COMPONENT INTEGRABLE COSMOLOGICAL MODELS ⋮ A TWO-DIMENSIONAL REPRESENTATION OF FOUR-DIMENSIONAL GRAVITATIONAL WAVES ⋮ Toda chains with type \(A_ m\) Lie algebra for multidimensional \(m\)-component perfect fluid cosmology. ⋮ Integration of \(D\)-dimensional cosmological models with two factor spaces by reduction to the generalized Emden-Fowler equation

Cites Work

• Unnamed Item
• Is the space-time dimension 11 distinguished in cosmology ?
• The solution to a generalized Toda lattice and representation theory
• The dynamics of homogeneous multidimensional cosmological models
• Curvature of gravitationally bound mechanical systems
• Billiard representation for multidimensional cosmology with multicomponent perfect fluid near the singularity
• Integrable pseudo-Euclidean Toda-like systems in multidimensional cosmology with multicomponent perfect fluid
• Supergravity in theory in 11 dimensions
• Geometry of spaces with the Jacobi metric
• Explicit solutions of classical generalized Toda models

This page was built for publication: Integrability of multicomponent models in multidimensional cosmology