We investigate techniques to generate new classes of exact solutions to the Einstein-
Maxwell field equations which represent the gravitational field of charged perfect fluid
spherically symmetric distributions of matter. Historically, a large number of solutions
have been proposed but only a small number have been demonstrated to satisfy
elementary conditions for physical acceptability. Firstly we examine the case of the
constant density and constant electric field charged fluid sphere and show empirically
that such configurations of matter are unlikely to exist as basic physical requirements
are violated. We then make an ansatz relating the fluid's electric field intensity to
one of the gravitational potentials thereby simplifying the system of partial differential
equations. This prescription yields an algorithmic process to generate new classes of
exact solutions. We present a number of new solutions and comment on their viability
as stellar models. Graphical plots generated by symbolic software of the main dynamical
and geometrical quantities verify that one of our models is suitable to represent
a physically relevant distribution of charged matter in the form of a spherical shell.
In particular, positive definiteness of energy density and pressure are guaranteed, a
pressure free hypersurface denoting the boundary of the star exists, the sound speed
is shown to be sub-luminal and the energy conditions are satisfied everywhere in the
interior of the star. / Thesis (M.Sc.)-University of KwaZulu-Natal, Durban, 2012.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:ukzn/oai:http://researchspace.ukzn.ac.za:10413/10533 |
| Date | 28 March 2014 |
| Creators | Mthethwa, Thulani Richard. |
| Contributors | Hansraj, Sudan. |
| Source Sets | South African National ETD Portal |
| Language | en_ZA |
| Detected Language | English |
| Type | Thesis |
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