Nonlinear evolution of spherical perturbation in a non-flat Universe with cosmological constant
Abstract
Description
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.
7 pages, 5 figures, results for quintessence removed (as obtained with an unjustified assumption of the conservation of energy inside the overdense region)
7 pages, 5 figures, results for quintessence removed (as obtained with an unjustified assumption of the conservation of energy inside the overdense region)