Comparison Of Interacting Holographic Dark Energy Models

In 1998,two observation teams found that our universe is accelerating through the measurement of distant type Ia supernova.This discovery broke the view people have always believed that the universe is always in a static state.After a lot of research,dark energy has been proposed to explain this strange phenomenon,which also established a lot of dark energy models,such as:cosmological constant model,holographic dark energy model,the interaction of dark energy model.So far,the cosmological constant model has been the best dark energy model fitted with the current observations,but it has been puzzled with some problems such as "fine-tuning" and "cosmic coincidence".The holographic dark energy model is proposed and widely studied.At present,various observational constraints on this model indicate that the parameter c is less than 1,which means that our universe will eventually face the fate of "big rip".One of the better solutions is that we consider the interaction between dark energy and dark matter.The interaction between dark energy and dark matter can decrease or even avoid the occurrence of "big rip"..In this paper,we give five different forms of the interaction term under the holographic dark energy model firstly:Q=3βH0ρde,Q=3βH0ρc,Q=3βH0(ρde+ρc),(?)and Q=3βH0ρdeρc/ρde+ρc.and investigate the observational on the interacting holographic dark energy model.The observation data we use in this paper include the JLA compilation of type Ⅰa supernovae data,the Planck 2015 distance priors data of cosmic microwave background observation,the baryon acoustic oscillations measurements,and the direct measurement of the Hubble constant.We use the χ2 statistic to do the cosmological fits.but we cannot fairly compare different models by comparing their χmin2 values because they have different numbers of parameters,in this paper we use Akaike information criterion and Bayesian information criterion to make a comparison for the results.Then we make a comparison for the results of our analysis with the results of the present work.The difference between our work and the present work is the interaction terms.The interaction terms of present work are as follow:Q=3βHpde,Q=3βHρc,Q=3βH(ρde+ρc),(?)and Q=3βHρdeρc/ρde+ρc.By analyzing the results of us we find that Q=3βH0ρdeρc/ρde+ρc is the best fitted with the current observations,and is the most effective in relieving the "big rip",the Q=3βH0ρde is the next one.The most important thing is that our conclusion is basically the same as the present work,in the present work Q=3βHρdeρc/ρde+ρc and Q=3βHρde the best fitted with the current observations.The results is consistent of the two interaction terms Q=3βH0ρ and Q=3βHρ which,confirms the correctness of the two works again.