Dynamics of k-essence in loop quantum cosmology

TL;DR

This paper investigates how loop quantum gravity influences the evolution of k-essence in the early universe, finding that quantum effects are significant initially but diminish over time, with most dynamics aligning with classical cosmology.

Contribution

It provides a detailed analysis of the stability and fixed points of k-essence in loop quantum cosmology, highlighting differences from standard cosmology due to quantum effects.

Findings

LQG effects are prominent only in the early universe.

Most fixed points and stability conditions match classical FRW cosmology.

Certain fixed points require tighter constraints due to LQG effects.

Abstract

In this paper, we study the dynamics of k-essence in loop quantum cosmology (LQC). The study indicates that the loop quantum gravity (LQG) effect plays a key role only in the early epoch of the universe and is diluted at the later stage. The fixed points in LQC are basically consistent with that in standard Friedmann-Robertson-Walker (FRW) cosmology. For most of the attractor solutions, the stability conditions in LQC are in agreement with that for the standard FRW universe. But for some special fixed point, more tighter constraints are imposed thanks to the LQG effect.