| dc.contributor.advisor |
Morrison, Philip J. |
| dc.creator |
Okabe, Takahide
|
| dc.date.accessioned |
2012-10-05T18:10:29Z |
| dc.date.available |
2012-10-05T18:10:29Z |
| dc.date.created |
2008-12 |
| dc.date.issued |
2012-10-05 |
| dc.identifier.uri |
http://hdl.handle.net/2152/18198 |
| dc.description.abstract |
The 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. |
| dc.format.medium |
electronic |
| dc.language.iso |
eng |
| dc.rights |
Copyright © 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.lcsh |
General relativity (Physics)--Mathematics
|
| dc.subject.lcsh |
Cosmology--Mathematical models
|
| dc.subject.lcsh |
Hamiltonian systems
|
| dc.subject.lcsh |
Lie algebras
|
| dc.subject.lcsh |
Lie groups
|
| dc.subject.lcsh |
Anisotropy
|
| dc.title |
Spatially-homogeneous Vlasov-Einstein dynamics |
| dc.description.department |
Physics
|
| dc.type.genre |
Thesis |
| dc.type.material |
text |
| thesis.degree.department |
Physics
|
| thesis.degree.discipline |
Physics |
| thesis.degree.grantor |
The University of Texas at Austin |
| thesis.degree.level |
Doctoral |
| thesis.degree.name |
Doctor of Philosophy |
