Integration of \(D\)-dimensional cosmological models with two factor spaces by reduction to the generalized Emden-Fowler equation

DOI10.1007/BF02575448zbMath0954.83017arXivgr-qc/9801042OpenAlexW2052554226MaRDI QIDQ1567906

V. R. Gavrilov, V. N. Mel'nikov

Publication date: 12 February 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9801042

zbMATH Keywords

cosmological modelsEinstein equationsEmden-Fowler equationfactor spaces

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items (2)

2-COMPONENT INTEGRABLE COSMOLOGICAL MODELS ⋮ \(D\)-dimensional \(p\)-brane cosmological models associated with a Lie algebra of the type \(A_m\)

Cites Work

• Theory of nonlinear lattices
• Integrability of multicomponent models in multidimensional cosmology
• Multidimensional classical and quantum wormholes in models with cosmological constant
• Bulk viscosity and entropy production in multidimensional integrable cosmology
• Exact solutions in multidimensional cosmology with bulk viscosity
• The dynamics of homogeneous multidimensional cosmological models
• Exact solutions in multi-dimensional cosmology with shear and bulk viscosity
• 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
• Multidimensional integrable vacuum cosmology with two curvatures

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