Future singularity free accelerating expansion with the modified Poisson brackets

TL;DR

This paper demonstrates that a modified Poisson algebra in a two-dimensional semi-classical dilaton gravity model can produce a smooth transition from decelerating to accelerating expansion, avoiding a future singularity.

Contribution

It introduces a noncommutative Poisson algebra into the model, revealing a phase transition in the universe's expansion not seen with conventional Poisson brackets.

Findings

Smooth transition from decelerating to accelerating universe

Phase transition linked to noncommutative Poisson algebra

Avoidance of future singularity in the model

Abstract

We show that the second accelerating expansion of the universe appears smoothly from the decelerating universe remarkably after the initial inflation in the two-dimensional soluble semi-classical dilaton gravity along with the modified Poisson brackets of noncommutativity between the relevant fields. However, the ordinary solution coming from the equations of motion following the conventional Poisson algebra describes permanent accelerating universe without any phase change. In this modified model, it turns out that the phase transition is related to the noncommutative Poisson algebra.