Vector-Galileon-Tensor theories of gravity

dc.contributor.advisorDunsby,Peter Klausen_ZA
dc.contributor.advisorJiménez, José Beltránen_ZA
dc.contributor.authorOreta, Timothyen_ZA
dc.date.accessioned2016-07-28T11:13:12Z
dc.date.available2016-07-28T11:13:12Z
dc.date.issued2016en_ZA
dc.description.abstractA detailed study of the cosmological evolution in a particular vector-tensor theory of gravity with a potential and a Galileon-motivated interaction terms is presented. The evolution of vector field self interactions that are relatively related to Galileon fields throughout the expansion history of the universe is considered and a classification of the parameters M (mass term) and H (Hubble parameter) according to the behaviour of the field in each cosmological epoch is carried out. In particular, we obtain conditions for the parameters so that the field grows exponentially or oscillates with decreasing amplitude. We also obtain an autonomous system for the inflationary case. The general features of the phasemaps are given and the critical point is appropriately characterised. It is not possible to obtain an autonomous system for radiation and matter dominated epochs hence, we consider other analytical methods. We obtain eigenvalues and hence, phasemaps. The general features of the phasemaps are given and the point to which the trajectories on the phasemaps converge is appropriately characterised. Therefore, we show that it is possible to obtain a wide variety of behaviours or interesting phenomenologies for the cosmological evolution of vector field self-interactions that are relatively related to Galileon fields by choosing suitable values for the parameters M and H of given conditions.en_ZA
dc.identifier.apacitationOreta, T. (2016). <i>Vector-Galileon-Tensor theories of gravity</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/20925en_ZA
dc.identifier.chicagocitationOreta, Timothy. <i>"Vector-Galileon-Tensor theories of gravity."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2016. http://hdl.handle.net/11427/20925en_ZA
dc.identifier.citationOreta, T. 2016. Vector-Galileon-Tensor theories of gravity. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Oreta, Timothy AB - A detailed study of the cosmological evolution in a particular vector-tensor theory of gravity with a potential and a Galileon-motivated interaction terms is presented. The evolution of vector field self interactions that are relatively related to Galileon fields throughout the expansion history of the universe is considered and a classification of the parameters M (mass term) and H (Hubble parameter) according to the behaviour of the field in each cosmological epoch is carried out. In particular, we obtain conditions for the parameters so that the field grows exponentially or oscillates with decreasing amplitude. We also obtain an autonomous system for the inflationary case. The general features of the phasemaps are given and the critical point is appropriately characterised. It is not possible to obtain an autonomous system for radiation and matter dominated epochs hence, we consider other analytical methods. We obtain eigenvalues and hence, phasemaps. The general features of the phasemaps are given and the point to which the trajectories on the phasemaps converge is appropriately characterised. Therefore, we show that it is possible to obtain a wide variety of behaviours or interesting phenomenologies for the cosmological evolution of vector field self-interactions that are relatively related to Galileon fields by choosing suitable values for the parameters M and H of given conditions. DA - 2016 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2016 T1 - Vector-Galileon-Tensor theories of gravity TI - Vector-Galileon-Tensor theories of gravity UR - http://hdl.handle.net/11427/20925 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/20925
dc.identifier.vancouvercitationOreta T. Vector-Galileon-Tensor theories of gravity. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2016 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/20925en_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.subject.otherAstrophysics and Space Scienceen_ZA
dc.titleVector-Galileon-Tensor theories of 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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