4+1 dimensional homogeneous anisotropic string cosmological models

TL;DR

This paper derives exact five-dimensional string cosmological solutions with anisotropic metrics, demonstrating models that exhibit accelerated expansion similar to our universe, with specific Lie group symmetries and perfect fluid coupling.

Contribution

It provides new exact solutions for 4+1 dimensional string cosmologies with anisotropic metrics, space-independent dilaton, and no torsion, including an example with accelerated expansion.

Findings

Model exhibits accelerated universe behavior

Solutions are characterized by specific Lie group symmetries

Couples to perfect fluid with negative deceleration parameter

Abstract

We present exact solutions of string cosmological models characterized by five dimensional metrics (with four-dimensional real Lie groups as isometry groups), space independent dilaton and vanishing torsion. As an example we consider VII 0 \oplus R model and show that it is equivalent to the (4 +1)-dimensional cosmological model coupled to perfect fluid with negative deceleration parameters (accelerating universe).