Exact and Perturbed Friedmann-Lemaitre Cosmologies

cosmology;general relativity;Applied Mathematics

Ullrich, Paul Aaron

University of Waterloo

关键词: cosmology;    general relativity;    Applied Mathematics;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/3152/1/GeneralRelativity.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

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.