dc.contributor.advisor Maharaj, S. D. dc.contributor.advisor Leach, Peter Gavin Lawrence. dc.creator Pasha, Muhammad Akmal. dc.date.accessioned 2014-11-19T07:45:20Z dc.date.available 2014-11-19T07:45:20Z dc.date.created 1999 dc.date.issued 1999 dc.identifier.uri http://hdl.handle.net/10413/11602 dc.description Thesis (Ph.D.)-University of Natal, 1999 en dc.description.abstract In this thesis we study spherically symmetric spacetimes with a perfect fluid source en which incorporates charge. We seek explicit solutions to the Einstein- Maxwell system of equations. For nonaccelerating spherically symmetric models a charged, dust solution is found. With constant pressure the equations reduce to quadratures. Particular solutions are also found, with no acceleration, with the equation of state P =( y - 1)u. The Lie analysis is utilised to reduce the Einstein- Maxwell equations to a syst.em of ordinary differential equations. The evolution of the model depends on a Riccati equation for this general class of accelerating, expanding and shearing spacetimes with charge. Also arbitrary choices for the gravitational potentials lead to explicit solutions in particular cases. With constant gravitational potential A we generate a simple nonvacuum model. The analysis, in this case, enables us to reduce the solution to quadratures. With the value y = 2, for a stiff equation of state, we find that the solution is expressable in terms of elementary functions. Throughout the thesis we have attempted to relate our results to previously published work, and to obtain the uncharged perfect fluid limit where appropriate. dc.language.iso en_ZA en dc.subject General Relativity (Physics) en dc.subject Space And Time. en dc.subject Einstein Field Equations--Numerical Solutions. en dc.subject Theses--Mathematics. en dc.title Spherically symmetric charged Einstein-Maxwell solutions. en dc.type Thesis en
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