Cosmological evolution of interacting phantom (quintessence) model in Loop Quantum Gravity

TL;DR

This paper investigates how loop quantum gravity influences the evolution of interacting dark energy models, revealing that quantum effects modify stability conditions and predict eternal acceleration consistent with observations.

Contribution

It provides the first analysis of interacting phantom and quintessence dark energy models within loop quantum cosmology, highlighting quantum effects on stability and long-term cosmic behavior.

Findings

Quantum effects reduce parameter space for phantom models.

Universe accelerates forever under certain conditions.

Oscillatory regimes occur if parameters do not meet stability criteria.

Abstract

The dynamics of interacting dark energy model in loop quantum cosmology (LQC) is studied in this paper. The dark energy has a constant equation of state $w_x$ and interacts with dark matter through a form $3cH(\rho_x+\rho_m)$. We find for quintessence model ($w_x>-1$) the cosmological evolution in LQC is the same as that in classical Einstein cosmology; whereas for phantom dark energy ($w_x<-1$), although there are the same critical points in LQC and classical Einstein cosmology, loop quantum effect reduces significantly the parameter spacetime ($c, w_x$) required by stability. If parameters $c$ and $w_x$ satisfy the conditions that the critical points are existent and stable, the universe will enter an era dominated by dark energy and dark matter with a constant energy ratio between them, and accelerate forever; otherwise it will enter an oscillatory regime. Comparing our results with the observations we find at $1\sigma$ confidence level the universe will accelerate forever.