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

Puxun Wu; Shuang Nan Zhang

doi:10.1088/1475-7516/2008/06/007

paper

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

arXiv:0805.2255 · doi:10.1088/1475-7516/2008/06/007

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 $3 cH (ρ_{x} + ρ_{m})$ . 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 $1 σ$ confidence level the universe will accelerate forever.

15 pages, 8 figures, to appear in JCAP

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

Abstract

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