Beyond Spherical Top Hat Collapse
Cosmology and Nongalactic Astrophysics
2011-06-13 v1
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.
Cite
@article{arxiv.1008.2246,
title = {Beyond Spherical Top Hat Collapse},
author = {T. S. Pereira and R. Rosenfeld and A. Sanoja},
journal= {arXiv preprint arXiv:1008.2246},
year = {2011}
}
Comments
14 pages,6 figures