Noncommutative cosmological models coupled to a perfect fluid and a cosmological constant

TL;DR

This paper explores how introducing noncommutativity into Friedmann-Robert-Walker cosmological models affects their classical equations and dynamics, revealing notable differences from traditional models.

Contribution

It presents a novel noncommutative framework for cosmological models with fluids and a cosmological constant, modifying classical equations via a shift operator.

Findings

Noncommutative models differ significantly from commutative ones

Modified classical field equations due to noncommutativity

Revealed new dynamical behaviors in cosmological evolution

Abstract

In this work we carry out a noncommutative analysis of several Friedmann-Robert-Walker models, coupled to different types of perfect fluids and in the presence of a cosmological constant. The classical field equations are modified, by the introduction of a shift operator, in order to introduce noncommutativity in these models. We notice that the noncommutative versions of these models show several relevant differences with respect to the correspondent commutative ones.