Deformation of the quintom cosmological model and its consequences

TL;DR

This paper explores how non-commutative phase-space modifies the quintom cosmological model, affecting parameters like the cosmological constant and providing insights into dark energy and inflation through deformed Lagrangian and symmetry analysis.

Contribution

It introduces a novel application of non-commutative phase-space to the quintom model, deriving a deformed Lagrangian and analyzing its implications for cosmological phenomena.

Findings

Non-commutative parameters influence cosmological constants.

Deformed Lagrangian incorporates non-commutative effects.

Analysis of dark energy and inflation scenarios.

Abstract

In this paper, we investigate the effects of non-commutative phase-space on the quintom cosmological model. In that case, we discuss $\Lambda_{1}$, $\Lambda_{2}$ and other cosmological parameters and show that they are associated to deformation parameters $\theta$ and $\beta$. Generally one can say that, the non-commutative parameter plays important role in physics and here also help us to arrange the divergency of cosmological constant. We draw time-dependent scale factor and investigate the effect of non-commutative parameters. Finally, we take advantage from non-commutative phase-space and obtain the deformed Lagrangian for the quintom model. In order to discuss some cosmological phenomena as dark energy and inflation, we employ Neother symmetry.