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dc.contributor.authorAlhulaimi, Bassemah
dc.date.accessioned2017-03-24T17:08:49Z
dc.date.available2017-03-24T17:08:49Z
dc.identifier.urihttp://hdl.handle.net/10222/72742
dc.description.abstractThe so-called Einstein-Aether theory is General Relativity coupled (at second derivative order) to a dynamical time-like unit vector field (the "Aether"). It is a Lorentz-violating theory and has gained much attention in recent years. We study two classes of Einstein-Aether cosmological scalar field models using dynamical systems techniques. In particular, we are interested in exploring the impact of Lorentz violation on the inflationary scenario. We study the local stability of the equilibrium points of the dynamical system corresponding to physically realistic solutions and find that there are always ranges of values of the parameters of the models for which there exists an inflationary attractor. In the first application, we investigate the qualitative behaviour of a class of spatially homogeneous Einstein-Aether models with a scalar field. Particularly, we study two models; an isotropic model and an anisotropic model. In both models there always exists a range of the values of the parameters in which there is an attractor which corresponds to an inflationary universe at late times. In the second application, we study spherically symmetric cosmological models with a scalar field. Particularly, we consider a special case of spatially homogeneous Kantowski-Sachs models using appropriate normalized bounded variables. In this special case, we found that there always exists a range of values in the parameters in which there is one inflationary attractor solution which corresponds to an inflationary of the Universe at late times.en_US
dc.language.isoenen_US
dc.subjectEinstein-Aetheren_US
dc.subjectDynamic systemen_US
dc.subjectInflationen_US
dc.subjectStabilityen_US
dc.subjectCosmologyen_US
dc.subjectQuantum theory
dc.titleEinstein-Aether Cosmological Scalar Field Modelsen_US
dc.date.defence2017-03-14
dc.contributor.departmentDepartment of Mathematics & Statistics - Math Divisionen_US
dc.contributor.degreeDoctor of Philosophyen_US
dc.contributor.external-examinerDr. Roberto A. Sussmanen_US
dc.contributor.graduate-coordinatorDr. David Ironen_US
dc.contributor.thesis-readerDr.Theodore Kolokolnikoven_US
dc.contributor.thesis-readerDr. Robert van den Hoogenen_US
dc.contributor.thesis-supervisorDr. Alan Coleyen_US
dc.contributor.ethics-approvalNot Applicableen_US
dc.contributor.manuscriptsNoen_US
dc.contributor.copyright-releaseNot Applicableen_US
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