Inhomogeneous solutions to the Einstein equations.

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dc.contributor.advisor Maharaj, Sunil D.
dc.creator Govender, Gabriel.
dc.date.accessioned 2010-08-21T09:12:42Z
dc.date.available 2010-08-21T09:12:42Z
dc.date.created 2007
dc.date.issued 2007
dc.identifier.uri http://hdl.handle.net/10413/470
dc.description Thesis (M.Sc.)-University of KwaZulu-Natal, Durban, 2007.
dc.description.abstract In this dissertation we consider spherically symmetric gravitational fields that arise in relativistic astrophysics and cosmology. We first present a general review of static spherically symmetric spacetimes. aand highlight a particular class of exact solutions of the Einstein-Maxwell system for charged spheres. In the case of shear-free spacetimes with heat flow, the integration of the system is reduced to solving the condition of pressure isotropy. This condition is a second order linear differential equation with variable coefficients. By choosing particular forms for the gravitational potentials, sev-eral classes of new solutions are generated. We regain known solutions corresponding to coniformal flatness when tidal forces are absent. We also consider expanding, accelerating and shearing models when the heat flux is not present. A new general class of models is found. This new class of shearing solutions contains the model of Maharaj et al (1993) when a parameter is set to zero. Our new solution does not contain a singularity at the stellar centre, and it is therefore useful in modelling the interior of stars. Finally, we demonstrate that the shearing models obtained by Markund and Bradley (1999) do not satisfy the Einstein field equations.
dc.language.iso en en_US
dc.subject Space and time.
dc.subject Relativity (Physics)
dc.subject Geometry.
dc.subject Theses--Mathematics. en_US
dc.title Inhomogeneous solutions to the Einstein equations. en_US
dc.type Thesis

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