Spherical collapse and the holographic dark energy model

preprint2014arXivOpen access

Abstract

In this work we investigate the spherical collapse model in flat FRW universe containing dark energy component. We consider the Holographic Dark Energy (HDE) model as a dynamical dark energy scenario with slowly time varying EoS parameter wΛw_Λ in order to calculate the effect of dark energy on the scenario of structure formation in the universe. We first calculate the evolution of density perturbation in linear regime for both phantom and quintessence behavior of HDE model and compare the results with standard CDM and ΛΛ CDM models. Then we calculate the evolution of two parameters characterizing the spherical collapse model i.e., linear density threshold δcδ_c and virial over-density ΔvirΔ_{vir} for phantom and quintessence HDE models. It is shown that the growth factor and δcδ_c fall behind in ΛΛCDM universe. We also show that ΔvirΔ_{vir} is largest in quintessence HDE model, intermediate in phantom HDE compare to ΛΛCDM model. Hence the growth of structures start earlier in quintessence and phantom HDE models than ΛΛCDM and more concentrated objects can be produced in these models.

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