Gravitational instabilities and faster evolving density perturbations
Astrophysics
2008-11-26 v2 General Relativity and Quantum Cosmology
Abstract
The evolution of inhomogeneities in a spherical collapse model is studied by expanding the Einstein equation in powers of inverse radial parameter. In the linear regime, the density contrast is obtained for flat, closed and open universes. In addition to the usual modes, an infinite number of new growing modes are contained in the solutions for pressureless open and closed universes. In the nonlinear regime, we obtain the leading growing modes in closed forms for a flat universe and also, in the limits of small and large times, for an open universe.
Cite
@article{arxiv.astro-ph/9810146,
title = {Gravitational instabilities and faster evolving density perturbations},
author = {Elcio Abdalla and Roya Mohayaee},
journal= {arXiv preprint arXiv:astro-ph/9810146},
year = {2008}
}
Comments
latex, 17 pages; electronic address for programs corrected