Symmetries of Cauchy Horizons and Global Stability of Cosmological Models
| 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.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 This dissertation includes unpublished co-authored material.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.identifier.uri | https://hdl.handle.net/1794/11543 | |
| 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 |