Constructing realistic Szekeres models from initial and final data

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dc.contributor.advisorHellaby, Charlesen_ZA
dc.contributor.authorWalters, Anthony Paulen_ZA
dc.date.accessioned2015-10-28T05:29:57Z
dc.date.available2015-10-28T05:29:57Z
dc.date.issued2012en_ZA
dc.description.abstractThe Szekeres family of inhomogeneous solutions, which are defined by six arbitrary metric functions, offers a wide range of possibilities for modelling cosmic structure. Within this family, the quasispherical case is the best understood, and is interpreted as being an arrangement on non-concentric mass shells, each a density dipole. Here we present a model construction procedure for the quasispherical case using given data at initial and final times. Of the six arbitrary metric functions, the three which are common to both Szekeres and Lemaitre-Tolman models are determined by the model construction procedure of Krasinski & Hellaby. For the remaining three functions, which are unique to Szekeres models, we derive exact analytic expressions in terms of more physically intuitive quantities - density profiles and dipole orientation angles. Using MATLAB, we implement the model construction procedure and simulate the time evolution.en_ZA
dc.identifier.apacitationWalters, A. P. (2012). <i>Constructing realistic Szekeres models from initial and final data</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/14382en_ZA
dc.identifier.chicagocitationWalters, Anthony Paul. <i>"Constructing realistic Szekeres models from initial and final data."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2012. http://hdl.handle.net/11427/14382en_ZA
dc.identifier.citationWalters, A. 2012. Constructing realistic Szekeres models from initial and final data. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Walters, Anthony Paul AB - The Szekeres family of inhomogeneous solutions, which are defined by six arbitrary metric functions, offers a wide range of possibilities for modelling cosmic structure. Within this family, the quasispherical case is the best understood, and is interpreted as being an arrangement on non-concentric mass shells, each a density dipole. Here we present a model construction procedure for the quasispherical case using given data at initial and final times. Of the six arbitrary metric functions, the three which are common to both Szekeres and Lemaitre-Tolman models are determined by the model construction procedure of Krasinski & Hellaby. For the remaining three functions, which are unique to Szekeres models, we derive exact analytic expressions in terms of more physically intuitive quantities - density profiles and dipole orientation angles. Using MATLAB, we implement the model construction procedure and simulate the time evolution. DA - 2012 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2012 T1 - Constructing realistic Szekeres models from initial and final data TI - Constructing realistic Szekeres models from initial and final data UR - http://hdl.handle.net/11427/14382 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/14382
dc.identifier.vancouvercitationWalters AP. Constructing realistic Szekeres models from initial and final data. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2012 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/14382en_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.otherMathematics and Applied Mathematicsen_ZA
dc.titleConstructing realistic Szekeres models from initial and final dataen_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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