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Exact models for radiating relativistic stars.

dc.contributor.advisorMaharaj, Sunil Dutt.
dc.contributor.authorRajah, Suryakumari Surversperi.
dc.date.accessioned2010-08-23T10:34:50Z
dc.date.available2010-08-23T10:34:50Z
dc.date.created2007
dc.date.issued2007
dc.descriptionThesis (Ph.D.)-University of KwaZulu-Natal, Durban, 2007.
dc.description.abstractIn this thesis, we seek exact solutions for the interior of a radiating relativistic star undergoing gravitational collapse. The spherically symmetric interior spacetime, when matched with the exterior radiating Vaidya spacetime, at the boundary of the star, yields the governing equation describing the gravitational behaviour of the collapsing star. The investigation of the model hinges on the solution of the governing equation at the boundary. We first examine shear-free models which are conformally flat. The boundary condition is transformed to an Abel equation and several new solutions are generated. We then study collapse with shear in geodesic motion. Two classes of solutions are generated which are regular at the stellar centre. Our treatment extends the results of Naidu et al (2006) which had the undesirable feature of a singularity at the centre of the star. In an attempt to find more general models, we transform the fundamental equation to a Riccati equation. Two general classes of solution are found and are used to study the thermal evolution in the causal theory of thermodynamics. These solutions are shown to reduce to the Friedmann dust solution in the absence of heat flow. Furthermore, we obtain new categories of solutions for the case of gravitational collapse with expansion, shear and acceleration of the stellar fluid. This is achieved by transforming the boundary condition into a Riccati equation. In special cases the Bernoulli equation is regained. The solutions are given in terms of elementary functions and they permit the investigation of the physical features of radiative stellar collapse.
dc.identifier.urihttp://hdl.handle.net/10413/513
dc.language.isoenen_US
dc.subjectSymmetric spaces.en_US
dc.subjectSpace and time.en_US
dc.subjectEinstein field equations--Numerical solutions.
dc.subjectTheses--Mathematics.
dc.titleExact models for radiating relativistic stars.
dc.typeThesisen_US

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