Beyond Spherical Top Hat Collapse

Abstract

We study the evolution of inhomogeneous spherical perturbations in the universe in a way that generalizes the spherical top hat collapse in a straightforward manner. For that purpose we derive a dynamical equation for the evolution of the density contrast in the context of a Lemaitre-Tolman-Bondi metric and construct solutions with and without a cosmological constant for the evolution of a spherical perturbation with a given initial radial profile.

14 pages,6 figures

References in corpus (8)

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• Confronting Lemaitre-Tolman-Bondi models with Observational Cosmology
• Lemaitre-Tolman-Bondi model and accelerating expansion
• Structure formation in the presence of dark energy perturbations
• Clarifying spherical collapse in coupled dark energy cosmologies
• The spherical collapse model and cluster formation beyond the $\Lambda$ cosmology: Indications for a clustered dark energy?
• Spherical Collapse and Cluster Counts in Modified Gravity Models
• Structure Formation, Backreaction and Weak Gravitational Fields