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Fluid and gas models in FLRW and almost FLRW universes
Includes bibliographical references.
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2016
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| _version_ | 1867613320401387520 |
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| access_status_str | Open Access |
| author | Gebbie, Timothy John |
| author2 | Ellis, George F R |
| author_browse | Ellis, George F R Gebbie, Timothy John |
| author_facet | Ellis, George F R Gebbie, Timothy John |
| author_sort | Gebbie, Timothy John |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/17936 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:14.045Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/17936 Fluid and gas models in FLRW and almost FLRW universes Gebbie, Timothy John Ellis, George F R Maartens, Roy Dunsby, Peter K S Mathematics and Applied Mathematics Cosmology Includes bibliographical references. Recently the universe has been modeled in the covariant sense, in terms of fluid models and perturbations thereof, leading to Gauge Invariant Covariant (GIC) perturbations of these fluid models. It is well known that kinetic theory provides a physically sound and consistent description of the matter and radiation in the universe, so a perturbative theory of gas models using kinetic theory would be most helpful. This has been done to a large degree in the Gauge Invariant (GI) Bardeen approach to perturbation theory by studies of gases based on the relativistic Boltzmann equation. These treatments, however, were not fully covariant. The GI Bardeen approach is dependent on a co-ordinate choice, while in the full GIC perturbation theory full covariance is maintained along with gauge invariance by describing the theory in a particular set of perturbation variables that differ from the Bardeen choice but can be related to the Bardeen variables. The covariant formulation of the relativistic Boltzmann equation in terms of variables that are of use in the GIC theory for gases has been well described. In this thesis, I provide both a good introduction to the full GIC perturbation theory of a photon gas and matter fluid system in the linear theory as well as a solid grounding with respect to the exact FLRW fluid model upon which most of the original ideas and concepts of modern cosmology are based. The introduction to the exact FLRW model is done in the sense of the dynamical systems approach to cosmology which provides the easiest access to understanding the evolution of single and multi-fluid FLRW models. 2016-03-17T12:37:19Z 2016-03-17T12:37:19Z 1996 Master Thesis Masters MSc http://hdl.handle.net/11427/17936 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Cosmology Gebbie, Timothy John Fluid and gas models in FLRW and almost FLRW universes |
| thesis_degree_str | Master's |
| title | Fluid and gas models in FLRW and almost FLRW universes |
| title_full | Fluid and gas models in FLRW and almost FLRW universes |
| title_fullStr | Fluid and gas models in FLRW and almost FLRW universes |
| title_full_unstemmed | Fluid and gas models in FLRW and almost FLRW universes |
| title_short | Fluid and gas models in FLRW and almost FLRW universes |
| title_sort | fluid and gas models in flrw and almost flrw universes |
| topic | Mathematics and Applied Mathematics Cosmology |
| url | http://hdl.handle.net/11427/17936 |
| work_keys_str_mv | AT gebbietimothyjohn fluidandgasmodelsinflrwandalmostflrwuniverses |