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dc.contributor.advisorMorrison, Philip J.en
dc.creatorOkabe, Takahideen
dc.date.accessioned2012-10-05T18:10:29Zen
dc.date.available2012-10-05T18:10:29Zen
dc.date.created2008-12en
dc.date.issued2012-10-05en
dc.identifier.urihttp://hdl.handle.net/2152/18198en
dc.descriptiontexten
dc.description.abstractThe influence of matter described by the Vlasov equation, on the evolution of anisotropy in the spatially-homogeneous universes, called the Bianchi cosmologies, is studied. Due to the spatial-homogeneity, the Einstein equations for each Bianchi Type are reduced to a set of coupled ordinary differential equations, which has Hamiltonian form with the metric components being the canonical coordinates. In the vacuum Bianchi cosmologies, it is known that a curvature potential, which comes from the symmetries of the three-dimensional Lie groups, determines the basic properties of the evolution of anisotropy. In this work, matter potentials are constructed for Vlasov matter. They are obtained by first introducing a new matter action principle for the Vlasov equation, in terms of a conjugate pair of functions, and then enforcing the symmetry to obtain a reduction. This yields an expression for the matter potential in terms of the phase space density, which is further reduced by assuming cold streaming matter. Some vacuum Bianchi cosmologies and Type I with Vlasov matter are compared. It is shown that the Vlasov-matter potential for cold streaming matter results in qualitatively distinct dynamics from the well-known vacuum Bianchi cosmologies.en
dc.format.mediumelectronicen
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshGeneral relativity (Physics)--Mathematicsen
dc.subject.lcshCosmology--Mathematical modelsen
dc.subject.lcshHamiltonian systemsen
dc.subject.lcshLie algebrasen
dc.subject.lcshLie groupsen
dc.subject.lcshAnisotropyen
dc.titleSpatially-homogeneous Vlasov-Einstein dynamicsen
dc.description.departmentPhysicsen
thesis.degree.departmentPhysicsen
thesis.degree.disciplinePhysicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen


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