dc.contributor.author |
Luo, Xianghui, 1983- |
|
dc.date.accessioned |
2011-09-01T23:15:53Z |
|
dc.date.available |
2011-09-01T23:15:53Z |
|
dc.date.issued |
2011-06 |
|
dc.identifier.uri |
http://hdl.handle.net/1794/11543 |
|
dc.description |
ix, 111 p. |
en_US |
dc.description.abstract |
This dissertation contains the results obtained from a study of two subjects in mathematical general relativity. The first part of this dissertation is about the existence of Killing symmetries in spacetimes containing a compact Cauchy horizon. We prove the existence of a nontrivial Killing symmetry in a large class of analytic cosmological spacetimes with a compact Cauchy horizon for any spacetime dimension. In doing so, we also remove the restrictive analyticity condition and obtain a generalization to the smooth case. The second part of the dissertation presents our results on the global stability problem for a class of cosmological models. We investigate the power law inflating cosmological models in the presence of electromagnetic fields. A stability result for such cosmological spacetimes is proved. This dissertation includes unpublished co-authored material. |
en_US |
dc.description.sponsorship |
Committee in charge: James Brau, Chair;
James Isenberg, Advisor;
Paul Csonka, Member;
John Toner, Member;
Peng Lu, Outside Member |
en_US |
dc.language.iso |
en_US |
en_US |
dc.publisher |
University of Oregon |
en_US |
dc.relation.ispartofseries |
University of Oregon theses, Dept. of Physics, Ph. D., 2011; |
|
dc.subject |
Theoretical physics |
en_US |
dc.subject |
Mathematics |
en_US |
dc.subject |
Applied mathematics |
en_US |
dc.subject |
Cauchy horizon |
en_US |
dc.subject |
Cosmology |
en_US |
dc.subject |
General relativity |
en_US |
dc.subject |
Global stability |
en_US |
dc.subject |
Hyperbolic partial differential equations |
en_US |
dc.subject |
Mathematical relativity |
en_US |
dc.title |
Symmetries of Cauchy Horizons and Global Stability of Cosmological Models |
en_US |
dc.type |
Thesis |
en_US |