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Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity

Includes bibliographical references.

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Bibliographic Details
Main Author: Kandhai, Sulona
Other Authors: Dunsby, Peter K S
Format: Thesis
Language:English
Published: Department of Mathematics and Applied Mathematics 2014
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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