Multidimensional Cosmology with Multicomponent Perfect Fluid and Toda Lattices

Abstract

The integration procedure for multidimensional cosmological models with multicomponent perfect fluid in spaces of constant curvature is developed. Reduction of pseudo-Euclidean Toda-like systems to the Euclidean ones is done. Some known solutions are singled out from those obtained. The existence of the wormholes is proved.

21 pages

References in corpus (4)

• Multidimensional Cosmology with $m$-Component Perfect Fluid
• Multidimensional Classical and Quantum Wormholes in Models with Cosmological Constant
• Multitemporal generalization of the Tangherlini solution
• Mass Bounds for Multidimensional Charged Dilatonic Black Holes

Cited by in corpus (4)

• Cosmological Solutions of Type II String Theory
• The Mixmaster Cosmological Model as a Pseudo-Euclidean Generalized Toda Chain
• Billiard representation for pseudo-Euclidean Toda-like systems of cosmological origin
• Multidimensional Quantum Cosmology: Quantum Wormholes, Third Quantization, Inflation from "Nothing", etc