On the growth of linear perturbations
Abstract
We consider the linear growth of matter perturbations in various dark energy (DE) models. We show the existence of a constraint valid at between the background and dark energy parameters and the matter perturbations growth parameters. For CDM lies in a very narrow interval for . Models with a constant equation of state inside General Relativity (GR) are characterized by a quasi-constant , for for example we have while can have a nonnegligible variation. A smoothly varying equation of state inside GR does not produce either . A measurement of on small redshifts could help discriminate between various DE models even if their is close, a possibility interesting for DE models outside GR for which a significant can be obtained.
Cite
@article{arxiv.0710.1510,
title = {On the growth of linear perturbations},
author = {David Polarski and Radouane Gannouji},
journal= {arXiv preprint arXiv:0710.1510},
year = {2008}
}
Comments
8 pages, 8 figures. Results unchanged; clarifying sentence added; one reference added