Dynamical behavior of interacting dark energy in loop quantum cosmology

TL;DR

This paper investigates the dynamical behavior and stability of interacting dark energy within loop quantum cosmology, highlighting differences from Einstein cosmology due to quantum effects and additional constraints.

Contribution

It introduces a framework for analyzing fixed points of interacting dark energy in loop quantum cosmology, incorporating quantum constraints absent in classical Einstein cosmology.

Findings

Fixed points are determined by modified equations in loop quantum cosmology.

Stability properties of fixed points differ between loop quantum cosmology and Einstein cosmology.

Quantum effects impose additional constraints on the dynamical behavior.

Abstract

The dynamical behaviors of interacting dark energy in loop quantum cosmology are discussed in this paper. Based on defining three dimensionless variables, we simplify the equations of the fixed points. The fixed points for interacting dark energy can be determined by the Friedmann equation coupled with the dynamical equations {in Einstein cosmology}. But in loop quantum cosmology, besides the Friedmann equation, the conversation equation also give a constrain on the fixed points. The difference of stability properties for the fixed points in loop quantum cosmology and the ones in Einstein cosmology also have been discussed.