Late time acceleration in a deformed phase space model of dilaton cosmology

TL;DR

This paper explores how noncommutativity in phase space affects dilaton cosmology, providing exact solutions and analyzing implications for late-time cosmic acceleration.

Contribution

It introduces a deformed phase space framework for dilaton cosmology and compares exact solutions in commutative and noncommutative cases.

Findings

Noncommutativity deforms the Poisson algebra of minisuperspace variables.

Exact solutions are derived for both commutative and noncommutative models.

Noncommutative effects influence the late-time acceleration of the universe.

Abstract

The effects of noncommutativity on the phase space of a dilatonic cosmological model is investigated. The existence of such noncommutativity results in a deformed Poisson algebra between the minisuperspace variables and their momenta conjugate. For an exponential dilaton potential, the exact solutions in the commutative and noncommutative cases, are presented and compared. We use these solutions to address the late time acceleration issue of cosmic evolution.