Spherical collapse model in agegraphic dark energy cosmologies

TL;DR

This paper investigates how agegraphic dark energy influences the formation and abundance of large-scale structures in the universe using the spherical collapse model, considering different dark energy behaviors and model parameters.

Contribution

It introduces a detailed analysis of spherical collapse in agegraphic dark energy models, highlighting the impact of model parameters and dark energy clustering on halo formation.

Findings

Larger alpha predicts fewer virialized halos compared to CDM.

Dark energy clustering significantly affects halo abundance.

Model parameter  critically influences structure formation predictions.

Abstract

Under the commonly used spherical collapse model, we study how dark energy affects the growth of large scale structures of the Universe in the context of agegraphic dark energy models. The dynamics of the spherical collapse of dark matter halos in nonlinear regimes is determined by the properties of the dark energy model. We show that the main parameters of the spherical collapse model are directly affected by the evolution of dark energy in the agegraphic dark energy models. We compute the spherical collapse quantities for different values of agegraphic model parameter $\alpha$ in two different scenarios: first, when dark energy does not exhibit fluctuations on cluster scales, and second, when dark energy inside the overdense region collapses similar to dark matter. Using the Sheth-Tormen and Reed mass functions, we investigate the abundance of dark matter halos in the framework of agegraphic dark energy cosmologies. The model parameter $\alpha$ is a crucial parameter in order to count the abundance of dark matter halos. Specifically, the present analysis suggests that the agegraphic dark energy model with bigger (smaller) value of $\alpha$ predicts less (more) virialized halos with respect to that of $\Lambda$CDM cosmology. We also show that in agegraphic dark energy models, the number of halos strongly depends on clustered or uniformed distributions of dark energy.