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dc.contributor.advisorGovinder, Kesh S.
dc.contributor.advisorMaharaj, Sunil D.
dc.creatorAbebe, Gezahegn Zewdie.
dc.date.accessioned2013-10-31T11:26:51Z
dc.date.available2013-10-31T11:26:51Z
dc.date.created2011
dc.date.issued2011
dc.identifier.urihttp://hdl.handle.net/10413/9840
dc.descriptionThesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2011.en
dc.description.abstractWe consider shear-free radiating spherical stars in general relativity. In particular we study the junction condition relating the pressure to the heat flux at the boundary of the star. This is a nonlinear equation in the metric functions. We analyse the junction condition when the spacetime is conformally flat, and when the particles are travelling in geodesic motion. We transform the governing equation using the method of Lie analysis. The Lie symmetry generators that leave the equation invariant are identifed and we generate the optimal system in each case. Each element of the optimal system is used to reduce the partial differential equation to an ordinary differential equation which is further analysed. As a result, particular solutions to the junction condition are presented. These exact solutions can be presented in terms of elementary functions. Many of the solutions found are new and could be useful in the modelling process. Our analysis is the first comprehensive treatment of the boundary condition using a symmetry approach. We have shown that this approach is useful in generating new results.en
dc.language.isoen_ZAen
dc.subjectLie groups.en
dc.subjectSymmetry (Physics)en
dc.subjectDifferential equations--Numerical solutions.en
dc.subjectSpace and time.en
dc.subjectTheses--Mathematics.en
dc.subjectStars.en
dc.titleLie symmetries of junction conditions for radiating stars.en
dc.typeThesisen


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