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dc.contributor.advisorGoswami, Rituparno.
dc.contributor.advisorMaharaj, Sunil D.
dc.creatorPaul, Erwin Roderic.
dc.date.accessioned2018-10-02T12:47:34Z
dc.date.available2018-10-02T12:47:34Z
dc.date.created2017
dc.date.issued2017
dc.identifier.urihttp://hdl.handle.net/10413/15525
dc.descriptionMaster of Science in Mathematics, Statistics and Computer Science. University of KwaZulu-Natal, Durban 2017.en_US
dc.description.abstractIn this thesis we examine the spacetime matching conditions covariantly for Locally Rotationally Symmetric class II (LRS-II) spacetimes, of which spherical symmetry is a special case. We use the semi-tetrad 1+1+2 covariant formalism and look at two general spacetime regions in LRS-II and match them across a timelike hypersurface using the Israel-Darmois matching conditions. This gives a new and unique result which is transparently presented in terms of the matching of various geometrical quantities (e.g. the expansion, shear, acceleration). Thereafter we apply the new result to the case involving a general spherically symmetric spacetime, representing for instance the interior of a star, and the Schwarzschild spacetime, which could represent the exterior. It is shown that the matching conditions make the Misner-Sharp and Schwarzschild masses exactly the same at the boundary, and the pressure is zero on the boundary.en_US
dc.language.isoen_ZAen_US
dc.subjectTheses - Applied Mathematics.en_US
dc.subject.otherSpacetime matching.en_US
dc.subject.otherCovariant formalism.en_US
dc.subject.otherSymmetric spacetimes.en_US
dc.subject.otherSpacetime.en_US
dc.titleA covariant approach to LRS-II spacetime matching.en_US
dc.typeThesisen_US


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