Exact and Perturbed Friedmann-Lemaitre Cosmologies
Abstract
In this thesis we first apply the 1+3 covariant description of general relativity to analyze n-fluid Friedmann-Lemaitre (FL) cosmologies; that is, homogeneous and isotropic cosmologies whose matter-energy content consists of n non-interacting fluids. We are motivated to study FL models of this type as observations suggest the physical universe is closely described by a FL model with a matter content consisting of radiation, dust and a cosmological constant. Secondly, we use the 1+3 covariant description to analyse scalar, vector and tensor perturbations of FL cosmologies containing a perfect fluid and a cosmological constant. In particular, we provide a thorough discussion of the behaviour of perturbations in the physically interesting cases of a dust or radiation background.
Cite
@article{arxiv.0709.3863,
title = {Exact and Perturbed Friedmann-Lemaitre Cosmologies},
author = {Paul Ullrich},
journal= {arXiv preprint arXiv:0709.3863},
year = {2007}
}
Comments
Masters Thesis, 159 pages, 11 figures, 8 appendices