Topological Dynamical Systems Methods in Early-Universe Cosmologies

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dc.contributor.advisorHaslam, Michael C.
dc.creatorKohli, Ikjyot Singh
dc.date.accessioned2015-01-26T14:51:59Z
dc.date.available2015-01-26T14:51:59Z
dc.date.copyright2014-07-11
dc.date.issued2015-01-26
dc.date.updated2015-01-26T14:51:59Z
dc.degree.disciplinePhysics And Astronomy
dc.degree.levelDoctoral
dc.degree.namePhD - Doctor of Philosophy
dc.description.abstractThis dissertation describes some important problems that we have tried to solve with respect to the state of the early universe, that is, the universe shortly after the Big Bang. Standard early-universe cosmological approaches almost always assume a perfect-fluid isotropic and spatially homogeneous Friedmann-Lemaˆıtre- Robertson-Walker (FLRW) model to study the universe’s evolution. The problem is that the early universe was in a hot, dense, and unstable state. Hence, perfect-fluid models which assume no dissipation may not be accurate at such early epochs in the universe’s evolution. Our approach is to introduce terms in the Einstein field equations that allow the representation of these dissipative/viscous effects. In addition, we relax the condition of isotropy to obtain a class of anisotropic and spatially homogeneous cosmological models, known as the Bianchi models. Our research then is largely focused on studying the dynamics of these Bianchi models in the presence of viscous effects. We feel that studying the early universe in this context is more fruitful than the standard approaches mainly because our models are more realistic representations of the conditions of the early universe. Our technique for studying these models is also quite different than the standard approaches in the literature, in that, we use topological dynamical systems theory to study the early and late-time asymptotic behaviour of the cosmological model under consideration. Our work in this regard has been quite successful, and has led to a number of publications in the Physical Review which are listed in the main dissertation document.
dc.identifier.urihttp://hdl.handle.net/10315/28240
dc.language.isoen
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subjectTheoretical physics
dc.subjectApplied mathematics
dc.subjectAstrophysics
dc.subject.keywordsGravitational wavesen_US
dc.subject.keywordsCosmologyen_US
dc.subject.keywordsTheoretical Physicsen_US
dc.subject.keywordsMathematical Cosmologyen_US
dc.subject.keywordsRobertson-Walkeren_US
dc.subject.keywordsFriedmannen_US
dc.subject.keywordsLemaitreen_US
dc.subject.keywordsDynamical systemsen_US
dc.subject.keywordsTopologyen_US
dc.subject.keywordsEarly-universeen_US
dc.subject.keywordsInflationen_US
dc.subject.keywordsBianchi modelsen_US
dc.subject.keywordsBianchien_US
dc.subject.keywordsViscous fluidsen_US
dc.subject.keywordsAstrophysical fluid dynamicsen_US
dc.subject.keywordsFluid dynamicsen_US
dc.subject.keywordsNavier-Stokesen_US
dc.subject.keywordsIsotropyen_US
dc.subject.keywordsHomogeneityen_US
dc.subject.keywordsSpatially homogeneousen_US
dc.subject.keywordsAnisotropicen_US
dc.subject.keywordsDark energyen_US
dc.subject.keywordsClosed universeen_US
dc.subject.keywordsMagnetohydrodynamicsen_US
dc.subject.keywordsMHDen_US
dc.subject.keywordsPlane-waveen_US
dc.subject.keywordsBICEP2en_US
dc.titleTopological Dynamical Systems Methods in Early-Universe Cosmologies
dc.typeElectronic Thesis or Dissertationen_US

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