Dynamics Of K-essence In Loop Quantum Cosmology

The exploration of the large-scale structure of the universe is a basic scientific problem in the understanding of the universe,astronomy and galactic physics.The research on the skyrocketing cosmology and dark energy is a hot topic in the field of cosmology.The research of modern cosmology has entered the era of precise cosmology.The precise astronomical observation data provide strong data support for the study of inflation and dark energy.This paper mainly discusses the dynamics of k-essence dark energy in loop quantum cosmology.In this paper,we first introduce the knowledge of classical cosmology,including the research background of cosmology,standard cosmological models,and some typical dark energy models.And then,we give the dynamic equations of the universe,and introduce the simplest quintensence and k-essence dark energy dynamic models.Secondly,the paper introduces the development status of loop quantum cosmology and the characteristics of in loop quantum cosmology.Finally,we study the dynamics of k-essence in loop quantum cosmology(LQC).The results show that the loop quantum gravity(LQG)effect only plays a key role in the early era of the universe and is diluted in the later period.The fixed points in LQC are basically consistent with those in standard Friedmann Robertson Walker(FRW)cosmology.For most attractor solutions,the stability conditions are consistent with those of standard FRW universe,but for some special fixed points,there will be more strict constraints due to LQG effect.