Spherically symmetric cosmological solutions.

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dc.contributor.advisor Maharaj, Sunil D.
dc.creator Govender, Jagathesan.
dc.date.accessioned 2012-01-19T07:38:51Z
dc.date.available 2012-01-19T07:38:51Z
dc.date.created 1996
dc.date.issued 1996
dc.identifier.uri http://hdl.handle.net/10413/4842
dc.description Thesis (Ph.D.)-University of Natal, Durban, 1996. en
dc.description.abstract This thesis examines the role of shear in inhomogeneous spherically symmetric spacetimes in the field of general relativity. The Einstein field equations are derived for a perfect fluid source in comoving coordinates. By assuming a barotropic equation of state, two classes of nonaccelerating solutions are obtained for the Einstein field equations. The first class has equation of state p = ⅓µ and the second class, with equation of state p = µ, generalises the models of Van den Bergh and Wils (1985). For a particular choice of a metric potential a new class of solutions is found which is expressible in terms of elliptic functions of the first and third kind in general. A class of nonexpanding cosmological models is briefly studied. The method of Lie symmetries of differential equations generates a self-similar variable which reduces the field and conservation equations to a system of ordinary differential equations. The behaviour of the gravitational field in this case is governed by a Riccati equation which is solved in general. Another class of solutions is obtained by making an ad hoc choice for one of the gravitational potentials. It is demonstrated that for a stiff fluid a particular case of the generalised Emden-Fowler equation arises. en
dc.language.iso en en
dc.subject Einstein field equations--Numerical solutions. en
dc.subject General relativity (Physics) en
dc.subject Space and time. en
dc.subject Theses--Mathematics. en
dc.title Spherically symmetric cosmological solutions. en
dc.type Thesis en

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