Evolution of spherical non-uniform perturbations in the universe
Instituto de Física Teórica, Universidade Estadual Paulista - Rua Dr. Bento T. Ferraz, 271, 01140-070, São Paulo, SP, Brazil
2 Departamento de Física, Universidade Estadual de Londrina, Campus Universitário - 86051-990, Londrina, Paraná, Brazil
Accepted: 14 October 2010
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 will derive a dynamical equation for the density contrast in the context of a Lemaître-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.
PACS: 98.80.Cq – Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)
© EPLA, 2010