Show simple item record

dc.contributor.advisorMaharaj, Sunil Dutt.
dc.creatorNaidoo, Ramsamy.
dc.date.accessioned2012-07-17T08:47:24Z
dc.date.available2012-07-17T08:47:24Z
dc.date.created1992
dc.date.issued1992
dc.identifier.urihttp://hdl.handle.net/10413/5819
dc.descriptionThesis (M.Sc.)-University of Natal, 1992.en
dc.description.abstractIn this thesis we utilise a form for the Hubble constant first proposed by Berman (1983) to study a variety of cosmological models. In particular we investigate the Robertson-Walker spacetimes, the Bianchi I spacetime, and the scalar-tensor theory of gravitation of Lau and Prokhovnik (1986). The Einstein field equations with variable cosmological constant and gravitational constant are discussed and the Friedmann models are reviewed. The relationship between observation and the Friedmann models is reviewed. We present a number of new solutions to the Einstein field equations with variable cosmological constant and gravitational constant in the Robertson-Walker spacetimes for the assumed form of the Hubble parameter. We explicitly find forms for the scale factor, cosmological constant, gravitational constant, energy density and pressure in each case. Some of the models have an equation of state for an ideal gas. The gravitational constant may be increasing in certain regions of spacetime. The Bianchi I spacetime, which is homogeneous and anisotropic, is shown to be consistent with the Berman (1983) law by defining a function which reduces to the scale factor of Robertson-Walker. We illustrate that the scalar-tensor theory of Lau and Prokhovnik (1986) also admits solutions consistent with the Hubble variation proposed by Berman. This demonstrates that this approach is useful in seeking solutions to the Einstein field equations in general relativity and alternate theories of gravity.en
dc.language.isoen_ZAen
dc.subjectGeneral relativity (Physics)en
dc.subjectCosmology.en
dc.subjectCalculus of tensors.en
dc.subjectSpace and time.en
dc.subjectTheses--Mathematics.en
dc.titleCosmological models and the deceleration parameter.en
dc.typeThesisen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record