Beyond Spherical Top Hat Collapse

Details Beyond Spherical Top Hat Collapse Beyond Spherical Top Hat Collapse

2010-08-13

arxiv.org/abs/1008.2246v1

Europhys.Lett.92:39001,2010

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

14 pages,6 figures

Scientific paper

10.1209/0295-5075/92/39001

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.

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