Diagnosing holographic type dark energy models with the Statefinder hierarchy, composite null diagnostic and w-w'pair

• 来源期刊: 中国科学:物理学 力学 天文学（英文版）
• 年，卷（期）: 2018,（3）
• 页码范围: 65-76
• 页数: 12页
• 语种: 英文

摘要

The main purpose of this work is to distinguish various holographic type dark energy (DE) models,including the AHDE,HDE,NADE,and RDE model,by using various diagnostic tools.The first diagnostic tool is the Statefinder hierarchy,in which the evolution of Statefinder hierarchy parmeter S(1)3(z) and S(1)4(z) are studied.The second is composite null diagnostic (CND),in which the trajectories of {S(1)3,∈} and {S(1)4,∈} are investigated,where ∈ is the fractional growth parameter.The last is w-w'analysis,where w is the equation of state for DE and the prime denotes derivative with respect to lna.In the analysis we consider two cases:varying current fractional DE density Ωae0 and varying DE model parameter C.We find that:(1) both the Statefinder hierarchy and the CND have qualitative impact on AHDE,but only have quantitative impact on HDE.(2) S(1)4 can lead to larger differences than S(1)3,while the CND pair has a stronger ability to distinguish different models than the Statefinder hierarchy.(3) For the case of varying C,the {w,w'} pair has qualitative impact on AHDE;for the case of varying Ωde0,the {w,w'} pair only has quantitative impact;these results are different from the cases of HDE,RDE,and NADE,in which the {w,w'} pair only has quantitative impact on these models.In conclusion,compared with HDE,RDE,and NADE,the AHDE model can be easily distinguished by using these diagnostic tools.