Cosmologies with causal bulk viscosity

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dc.contributor.authorKgathi, Matome Abiel
dc.date.accessioned2018-12-18T06:46:45Z
dc.date.available2018-12-18T06:46:45Z
dc.date.issued1996
dc.descriptionA thesis submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of the requirements for the degree of Doctor of Philosophy. Johannesburg,en_ZA
dc.description.abstractIn this thesis we investigate the evolution of viscous FRW cosmological models for two different constitutive equations for the bulk viscous pressure a, namely: The truncated theory,,,,,,,,,,,,,,,, and the full (non-truncated] Israel-Stewart theory ...................We first review the relativistic theory of non-equilibrium thermodynamics developed by Eckart (1940) and the essentially equivalent formulation of the theory given by Landau and Lifshitz (1958). We give a, brief description of the relativistic second-order theories found by Israel and Stewart (1976) and subsequently developed by Pavon, Jou, and co-workers (1982, 1993). All this is done in order to develop the tools for the study of the evolution of FRW cosmological models in the context of causal thermodynamics. We find new exact and perturbative solutions of Einstein's field equations for the truncated Israel-Stewart theory of irreversible thermodynamics. We show that viscous effects speed up the expansion of the universe. We also consider a viscous fluid in the presence of a " non-interacting scalar field and show that inflationary solutions exist. The full theory of bulk viscosity is applied to dissipative FRW spacetimes. New causal viscous inflationary solutions are presented. These solutions extend the results obtained by Maartens (1995a) to cases where the coefficient of bulk viscosity e and the relaxation time r are independent. Power-law solutions for the scale factor are shown to exist.en_ZA
dc.description.librarianAndrew Chakane 2018en_ZA
dc.identifier.urihttps://hdl.handle.net/10539/26217
dc.language.isoenen_ZA
dc.subjectNONEQUILIBRIUM THERMODYNAMICS.en_ZA
dc.subjectVISCOSITY.en_ZA
dc.subjectCOSMOLOGY--MATHEMATICAL MODELS.en_ZA
dc.titleCosmologies with causal bulk viscosityen_ZA
dc.typeThesisen_ZA
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