$C^\infty$ perturbations of FRW models with a cosmological constant
Abstract
Spatially homogeneous and isotropic cosmological models, with a perfect fluid matter source and non-vanishing cosmological constant, are studied. The equations governing linear perturbations of the space-time and the variation of energy density are given. The complete solution of the problem is obtained for perturbations, using a comoving time. The Sachs-Wolfe fluctuations of the temperature of the cosmic background radiation are obtained for the relatively growing density perturbations. It is found that the observable celestial microwave fluctuation pattern underwent a reversal approximately two billion years ago. What is observed today is a negative image of the last scattering surface with an attenuation of the fluctuations, due to the presence of the cosmological constant.
Keywords
Cite
@article{arxiv.astro-ph/0402069,
title = {$C^\infty$ perturbations of FRW models with a cosmological constant},
author = {Zoltán Perjés and Mátyás Vasúth and Viktor Czinner and Daniel Eriksson},
journal= {arXiv preprint arXiv:astro-ph/0402069},
year = {2007}
}
Comments
15 pages, 5 figures