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dc.contributor.advisorMaharaj, S. D.
dc.contributor.advisorLeach, Peter Gavin Lawrence.
dc.creatorPasha, Muhammad Akmal.
dc.date.accessioned2014-11-19T07:45:20Z
dc.date.available2014-11-19T07:45:20Z
dc.date.created1999
dc.date.issued1999
dc.identifier.urihttp://hdl.handle.net/10413/11602
dc.descriptionThesis (Ph.D.)-University of Natal, 1999en
dc.description.abstractIn this thesis we study spherically symmetric spacetimes with a perfect fluid source 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.en
dc.language.isoen_ZAen
dc.subjectGeneral Relativity (Physics)en
dc.subjectSpace And Time.en
dc.subjectEinstein Field Equations--Numerical Solutions.en
dc.subjectTheses--Mathematics.en
dc.titleSpherically symmetric charged Einstein-Maxwell solutions.en
dc.typeThesisen


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