Exact and Perturbed Friedmann-Lemaitre Cosmologies

Details Exact and Perturbed Friedmann-Lemaitre Cosmologies Exact and Perturbed Friedmann-Lemaitre Cosmologies

2007-09-25

arxiv.org/abs/0709.3863v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Masters Thesis, 159 pages, 11 figures, 8 appendices

Scientific paper

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.

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