dc.contributor.advisor |
Lu, Peng |
|
dc.contributor.author |
Layne, Adam |
|
dc.date.accessioned |
2018-09-06T22:03:15Z |
|
dc.date.available |
2018-09-06T22:03:15Z |
|
dc.date.issued |
2018-09-06 |
|
dc.identifier.uri |
http://hdl.handle.net/1794/23828 |
|
dc.description.abstract |
We prove a nonpolarized analogue of the asymptotic characterization of T<sup>2</sup>-symmetric Einstein flow solutions completed recently by LeFloch and Smulevici. We impose a far weaker condition, but obtain identical rates of decay for the normalized energy and associated quantities. We describe numerical simulations which indicate that there is a locally attractive set for T<sup>2</sup>-symmetric solutions not subject to this weakened condition. This local attractor is distinct from the local attractor in our main theorem, thereby indicating that the polarized asymptotics are unstable. |
en_US |
dc.language.iso |
en_US |
|
dc.publisher |
University of Oregon |
|
dc.rights |
Creative Commons BY-SA 4.0-US |
|
dc.title |
Stability Within T<sup>2</sup>-Symmetric Expanding Spacetimes |
|
dc.type |
Electronic Thesis or Dissertation |
|
thesis.degree.name |
Ph.D. |
|
thesis.degree.level |
doctoral |
|
thesis.degree.discipline |
Department of Mathematics |
|
thesis.degree.grantor |
University of Oregon |
|