Scalar Field cosmology from a Modified Poisson Algebra

TL;DR

This paper explores how a modified Poisson algebra affects scalar field cosmology, revealing potential for the model to reproduce the standard CDM cosmology as a future attractor.

Contribution

It introduces a novel minisuperspace deformation using deformed Poisson brackets, linking quantum-inspired algebraic modifications to cosmological dynamics.

Findings

The model can reproduce CDM as a future attractor.

Early and late-time attractors are identified.

Cosmological evolution can be reconstructed from the deformation.

Abstract

We investigate the phase space of a scalar field theory obtained by minisuperspace deformation. We consider quintessence or phantom scalar fields in the action which arise from minisuperspace deformation on the Einstein-Hilbert action. We use a modified Poisson Algebra where Poisson brackets are the $\alpha$-deformed ones and are related to the Moyal-Weyl star product. We discuss early and late-time attractors, and we reconstruct the cosmological evolution. We show that the model can have $\Lambda$CDM model as a future attractor if we initially consider a massless scalar field without a cosmological constant term.