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

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.

arXiv comment7 pages, 5 figures, results for quintessence removed (as obtained with an unjustified assumption of the conservation of energy inside the overdense region)

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