Constructing realistic Szekeres models from initial and final data

 

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dc.contributor.advisor Hellaby, Charles en_ZA
dc.contributor.author Walters, Anthony Paul en_ZA
dc.date.accessioned 2015-10-28T05:29:57Z
dc.date.available 2015-10-28T05:29:57Z
dc.date.issued 2012 en_ZA
dc.identifier.citation Walters, A. 2012. Constructing realistic Szekeres models from initial and final data. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/14382
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics and Applied Mathematics en_ZA
dc.title Constructing realistic Szekeres models from initial and final data 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 Walters, 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/11427/14382 en_ZA
dc.identifier.chicagocitation Walters, 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/11427/14382 en_ZA
dc.identifier.vancouvercitation Walters 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/11427/14382 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


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