Nonlinear evolution of spherical perturbation in a non-flat Universe with cosmological constant
Astrophysics
2007-05-23 v2
Abstract
We generalize the spherical collapse model for the formation of bound objects to apply in a Universe with arbitrary positive cosmological constant. We calculate the critical condition for collapse of an overdense region and give exact values of the characteristic densities and redshifts of its evolution.
Cite
@article{arxiv.astro-ph/0108283,
title = {Nonlinear evolution of spherical perturbation in a non-flat Universe with cosmological constant},
author = {Ewa L. Lokas and Yehuda Hoffman},
journal= {arXiv preprint arXiv:astro-ph/0108283},
year = {2007}
}
Comments
7 pages, 5 figures, results for quintessence removed (as obtained with an unjustified assumption of the conservation of energy inside the overdense region)