Show simple item record

dc.creatorOkabe, Takahide
dc.date.accessioned2012-10-05T18:10:29Z
dc.date.available2012-10-05T18:10:29Z
dc.date.created2008-12
dc.date.issued2012-10-05
dc.identifier.urihttp://hdl.handle.net/2152/18198
dc.descriptiontext
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_US
dc.format.mediumelectronic
dc.language.isoengen_US
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.
dc.subject.lcshGeneral relativity (Physics)--Mathematics
dc.subject.lcshCosmology--Mathematical models
dc.subject.lcshHamiltonian systems
dc.subject.lcshLie algebras
dc.subject.lcshLie groups
dc.subject.lcshAnisotropy
dc.titleSpatially-homogeneous Vlasov-Einstein dynamicsen_US
dc.description.departmentPhysics
thesis.degree.departmentPhysicsen_US
thesis.degree.disciplinePhysicsen_US
thesis.degree.grantorThe University of Texas at Austin
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US


Files in this item

Icon

This item appears in the following Collection(s)

Show simple item record