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

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dc.contributor.advisorDunsby, Peter K Sen_ZA
dc.contributor.authorKandhai, Sulonaen_ZA
dc.date.accessioned2014-11-14T19:46:22Z
dc.date.available2014-11-14T19:46:22Z
dc.date.issued2014en_ZA
dc.descriptionIncludes bibliographical references.en_ZA
dc.description.abstractA 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.en_ZA
dc.identifier.apacitationKandhai, S. (2014). <i>Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/9608en_ZA
dc.identifier.chicagocitationKandhai, Sulona. <i>"Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2014. http://hdl.handle.net/11427/9608en_ZA
dc.identifier.citationKandhai, S. 2014. Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Kandhai, Sulona AB - 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. DA - 2014 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2014 T1 - Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity TI - Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity UR - http://hdl.handle.net/11427/9608 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/9608
dc.identifier.vancouvercitationKandhai S. Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2014 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/9608en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.titleExploring the cosmological dynamics of a viable theory for ƒ(R)-gravityen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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