# Noncommutative cosmological models induced by a symplectic formalism coupled to phantom fluids

## TL;DR

This paper explores noncommutative cosmological models with phantom fluids, analyzing their dynamics and how model parameters influence the time to a big rip singularity in an expanding universe.

## Contribution

It introduces a symplectic formalism to derive and solve noncommutative cosmological models coupled with phantom fluids and a cosmological constant, focusing on expansive solutions.

## Key findings

- Models exhibit big rip singularities.
- Parameters affect the expansion time to the big rip.
- Solutions are relevant to current universe expansion.

## Abstract

In the present letter, we consider homogeneous and isotropic noncommutative cosmological models induced by a symplectic formalism coupled to phantom perfect fluids and a cosmological constant. After computing the field equations, we solve them to find the scalar factor dynamics. We restrict our attention to expansive solutions, that may represent the present expansion of our Universe. Those solutions generate {\it big rip} singularities. We study how the parameters, of those models, modify the time it takes to the scalar factor expands from zero till infinity, at the {\it big rip}.