Multidimensional Cosmology with Multicomponent Perfect Fluid and Toda Lattices

TL;DR

This paper develops an integration method for multidimensional cosmological models with multicomponent perfect fluids, reduces Toda-like systems, and proves the existence of wormholes in such models.

Contribution

It introduces a new integration procedure for multidimensional cosmological models with multicomponent fluids and demonstrates the existence of wormholes within this framework.

Findings

Reduction of Toda-like systems to Euclidean form

Identification of known solutions within the new framework

Proof of wormhole existence in multidimensional models

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.