Multicomponent perfect fluid with variable parameters in n Ricci-flat spaces

TL;DR

This paper develops exact solutions for a multidimensional cosmological model with a multicomponent perfect fluid having variable parameters, including models with accelerated expansion and compactification of extra dimensions.

Contribution

It introduces a new integrable model of multicomponent perfect fluids with variable parameters in Ricci-flat spaces, providing Kasner-like solutions and explicit examples.

Findings

Exact Kasner-like solutions for the model.

Models demonstrating accelerated expansion at late times.

Examples of compactification of extra dimensions.

Abstract

D-dimensional cosmological model describing the evolution of a multicomponent perfect fluid with variable barotropic parameters in n Ricci-flat spaces is investigated. The equations of motion are integrated for the case, when each component possesses an isotropic pressure with respect to all spaces. Exact solutions are presented in the Kasner-like form. Some explicit examples are given: 4-dimensional model with an isotropic accelerated expansion at late times and (4+d)-dimensional model describing a compactification of extra dimensions.