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

 

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dc.contributor.advisor Dunsby, Peter K S en_ZA
dc.contributor.author Kandhai, Sulona en_ZA
dc.date.accessioned 2014-11-14T19:46:22Z
dc.date.available 2014-11-14T19:46:22Z
dc.date.issued 2014 en_ZA
dc.identifier.citation Kandhai, S. 2014. Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/9608
dc.description Includes bibliographical references. en_ZA
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.title Exploring the cosmological dynamics of a viable theory for ƒ(R)-gravity en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Kandhai, 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/11427/9608 en_ZA
dc.identifier.chicagocitation Kandhai, 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/11427/9608 en_ZA
dc.identifier.vancouvercitation Kandhai 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/11427/9608 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


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