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Nonlinear evolution of spherical perturbation in a non-flat Universe with cosmological constant

Ewa L. Lokas, Yehuda Hoffman

Published 2001-08-17, updated 2002-07-25Version 2

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.

Comments: 7 pages, 5 figures, results for quintessence removed (as obtained with an unjustified assumption of the conservation of energy inside the overdense region)
Categories: astro-ph
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