Top-Hat Spherical Collapse with Clustering Dark Energy. I. Radius Evolution and Critical Contrast Density

Abstract

Understanding the influence of dark energy on the formation of structures is currently a major challenge in Cosmology, since it can distinguish otherwise degenerated viable models. In this work we consider the Top-Hat Spherical-Collapse (SC) model with dark energy, which can partially (or totally) cluster, according to a free parameter $\gamma$. The {\it lack of} energy conservation has to be taken into account accordingly, as we will show. We determine characteristic quantities for the SC model, such as the critical contrast density and radius evolution, with particular emphasis on their dependence on the clustering parameter $\gamma$.

14 pages, 9 figures, accepted for publication in Physics of the Dark Universe

References in corpus (11)

• Cosmology and the Fate of Dilatation Symmetry
• Non-linear Evolution of f(R) Cosmologies III: Halo Statistics
• Structure formation in the presence of dark energy perturbations
• The Viability of Phantom Dark Energy: A Brief Review
• Clarifying spherical collapse in coupled dark energy cosmologies
• Dynamical Mutation of Dark Energy
• On the implementation of the spherical collapse model for dark energy models
• Clustering dark energy and halo abundances
• Spherical collapse model in agegraphic dark energy cosmologies
• Calculation of the critical overdensity in the spherical-collapse approximation
• Dynamical-Screening and the Phantom-Like Effects in a DGP-Inspired $F(R,\varphi )$ Model