Cosmological evolution of the interacting phantom (quintessence) model in loop quantumgravity

Abstract

The dynamics of the interacting dark energy model in loop quantum cosmology(LQC) is studied in this paper. The dark energy has a constant equation of statewx and interacts with dark matter through a form3cH(ρx+ρm). We find that for thequintessence model (wx>−1) the cosmological evolution in LQC is the same as that inclassical Einstein cosmology, whereas for phantom dark energy(wx<−1), although there are the same critical points in LQC and classical Einsteincosmology, the loop quantum effect significantly reduces the parameter spacetime(c,wx) required bystability. If parameters c and wx satisfy the conditions that the critical points are existing and stable, the universewill enter an era dominated by dark energy and dark matter with a constantenergy ratio between them, and accelerate forever; otherwise it will enteran oscillatory regime. Comparing our results with the observations we find at1σ confidence level that the universe will accelerate forever.