| Issue |
EPL
Volume 92, Number 3, November 2010
|
|
|---|---|---|
| Article Number | 39001 | |
| Number of page(s) | 6 | |
| Section | Geophysics, Astronomy and Astrophysics | |
| DOI | https://doi.org/10.1209/0295-5075/92/39001 | |
| Published online | 18 November 2010 | |
Evolution of spherical non-uniform perturbations in the universe
1
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
Received:
7
September
2010
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
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