Some models of relativistic radiating stars.
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Date
2012
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Abstract
In this dissertation we study radiating stars in strong gravitational elds. We generate
new classes of exact solutions to the Einstein eld equations and the boundary condition
applicable to radiating relativistic stars. The model of a radiating star in general
relativity, matching to the Vaidya exterior spacetime, is reviewed. The boundary condition
is converted to a Riccati equation and we consider both cases involving geodesic
and non-geodesic particle trajectories. We present the metrics found previously. We
rst solve the boundary condition for the geodesic case and nd the gravitational potentials
which are expanding and shearing. This is a new result. Secondly the boundary
condition is analysed for the non-geodesic case and we seek new gravitational potentials
which are accelerating, expanding and shearing. We are able to identify only geodesic
solutions for this second case; this appears to be a new class of models. The solutions
found are presented in terms of elementary functions which are helpful in studying the
physical properties. The new solutions found cannot be categorised in existing classes
of known solutions; they are examples of a new generic class di erent from previous
studies. The matter variables of the model are generated .
Description
Thesis (M.Sc.)-University of KwaZulu-Natal, Durban, 2012.
Keywords
Stars., Gravitational fields., Einstein field equations., Theses--Mathematics.