UWSpace is currently experiencing technical difficulties resulting from its recent migration to a new version of its software. These technical issues are not affecting the submission and browse features of the site. UWaterloo community members may continue submitting items to UWSpace. We apologize for the inconvenience, and are actively working to resolve these technical issues.
 

Exact and Perturbed Friedmann-Lemaitre Cosmologies

Thumbnail Image

Files

GeneralRelativity.pdf (885.6 KB)

Date

2007-08-07T17:42:55Z

Authors

Ullrich, Paul Aaron

Journal Title

Journal ISSN

Volume Title

Publisher

University of Waterloo

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.

Description

Keywords

cosmology, general relativity

LC Keywords

Citation

URI

http://hdl.handle.net/10012/3152

Collections

Theses
Applied Mathematics