dc.contributor.author | Herman, David Leigh | |
dc.date.accessioned | 2013-02-27T12:59:25Z | |
dc.date.available | 2013-02-27T12:59:25Z | |
dc.date.issued | 2013-02-27 | |
dc.identifier.uri | http://hdl.handle.net/10222/21376 | |
dc.description.abstract | The main goal of this thesis is to present cosmological perturbation theory (based on the standard Friedmann cosmological model) in volume-preserving coordinates, which then provides a suitable basis for studies in cosmological averaging. We review perturbation theory to second order, allowing for averaging to second order in future research. To solve the averaging problem we need a method of covariantly and gauge invariantly averaging tensorial objects on a background manifold. This is a very difficult problem. However, the definition of an average takes on a particularly simple form when written in a system of volume-preserving coordinates. Therefore, we develop a three dimensional and a four dimensional volume-preserving coordinate gauge in this thesis that can be used for averaging in cosmological perturbation theory. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Cosmology | en_US |
dc.subject | Cosmological Averaging | en_US |
dc.subject | Differential Geometry | en_US |
dc.subject | Perturbation Theory in Cosmology | en_US |
dc.subject | General Relativity | en_US |
dc.subject | The Gauge Issue | en_US |
dc.title | Volume-Preserving Coordinate Gauges in Linear Perturbation Theory | en_US |
dc.type | Thesis | en_US |
dc.date.defence | 2012-12-21 | |
dc.contributor.department | Department of Mathematics & Statistics - Math Division | en_US |
dc.contributor.degree | Master of Science | en_US |
dc.contributor.external-examiner | n/a | en_US |
dc.contributor.graduate-coordinator | Dr. Sara Faridi | en_US |
dc.contributor.thesis-reader | Dr. Robert van den Hoogen | en_US |
dc.contributor.thesis-reader | Dr. David Iron | en_US |
dc.contributor.thesis-supervisor | Dr. Alan Coley | en_US |
dc.contributor.ethics-approval | Not Applicable | en_US |
dc.contributor.manuscripts | Not Applicable | en_US |
dc.contributor.copyright-release | Not Applicable | en_US |