The Cosmological Dynamics of Interacting Holographic Dark Energy Model.pdf

The Cosmological Dynamics of Interacting Holographic Dark Energy Model M. R. Setare1∗, Elias C. Vagenas2,3 † 8 1 Department of Science, Payame Noor University, Bijar, Iran 0 2 0 Nuclear and Particle Physics Section, Physics Department, 2 r University of Athens, GR-15771, Athens, Greece p 3 Research Center for Astronomy Applied Mathematics, A Academy of Athens, Soranou Efessiou 4, GR-11527, Athens, Greece 9 2 ] h t - Abstract p e Motivated by the recent observations for the cosmic acceleration and the suitable h [ evolution of the Universe provided an interaction (decay of dark energy to matter) is incorporated in a cosmological model, we study the cosmological evolution of the 2 v Interacting Holographic Dark Energy scenario. Critical points are derived and their 0 corresponding cosmological models are presented. The dynamical character of these 7 models is revealed. 0 2 . 4 0 7 0 : v i X r a ∗E-mail: rezakord@ipm.ir †E-mail: evagenas@phys.uoa.gr 1 1 Introduction Recent observations from type Ia supernovae [1] associated with Large Scale Structure [2] and Cosmic Microwave Background anisotropies [3] have provided main evidence for the cosmic acceleration. The combined analysis of cosmological observations suggests that the universe consists of about 70% dark energy, 30% dust matter (cold dark matter plus baryons), and negligible radiation. Although the nature and origin of dark energy are unknown, we still can propose some candidates to describe it, namely since we do not know where this dark energy comes from, and how to comput