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Includes bibliographical references.
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613179427684352 |
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| access_status_str | Open Access |
| author | Kandhai, Sulona |
| author2 | Dunsby, Peter K S |
| author_browse | Dunsby, Peter K S Kandhai, Sulona |
| author_facet | Dunsby, Peter K S Kandhai, Sulona |
| author_sort | Kandhai, Sulona |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/9608 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:00.945Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| 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:11427/9608 Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity Kandhai, Sulona Dunsby, Peter K S Includes bibliographical references. A viable theory for ƒ(R) gravity, the Hu-Sawicki (HS) model, is considered from a dynamical systems perspective. The case for which n=1, c₁=1 is treated, and qualitative information regarding the phase space of this model is extracted. Several stable de Sitter equilibrium points are identified, as well as an unstable "matter-like" point and solution orbits which resemble the ACDM evolution are presented. The expansion history produced by integration of the dynamical system of the HS model is compared with that of ACDM. It is found that while the HS model can produce the desired behaviour in the appropriate regime, this occurs at the expense of ACDM values of the observational parameters. 2014-11-14T19:46:22Z 2014-11-14T19:46:22Z 2014 Master Thesis Masters MSc http://hdl.handle.net/11427/9608 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Kandhai, Sulona Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity |
| thesis_degree_str | Master's |
| title | Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity |
| title_full | Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity |
| title_fullStr | Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity |
| title_full_unstemmed | Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity |
| title_short | Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity |
| title_sort | exploring the cosmological dynamics of a viable theory for f r gravity |
| url | http://hdl.handle.net/11427/9608 |
| work_keys_str_mv | AT kandhaisulona exploringthecosmologicaldynamicsofaviabletheoryforƒrgravity |