Realistic relativistic stellar anisotropic models with equation of state

dc.contributor.authorThomas, Mashiku
dc.date.accessioned2018-10-15T16:54:47Z
dc.date.available2018-10-15T16:54:47Z
dc.date.issued2017
dc.descriptionDissertation (MSc Mathematics)en_US
dc.description.abstractWe obtain new exact solutions to the Einstein field equations for anisotropic neutral stellar objects. In our dissertation, we are considering a quadratic equation of state and a choice of measure of anisotropy and metric function adopted from Sunzu’s work. We transform the Einstein field equations for neutral anisotropic matter by adopting the Durgapal and Bannerji’s new variables. We generate the exact solution and hence obtain the gravitational potentials and matter variables from the general differential equation of the model. In our models, we regain the previous anisotropic and isotropic results generated by Sunzu as a special case. It is interesting that our results agree with Minkowski spacetime and earlier Einstein model. The physical analysis of the plots reveals that gravitational potentials and matter variables are well behaved in the interior of the stellar objects. In our model, we generate finite masses which are consistent with astronomical objects found by other researchers.en_US
dc.identifier.citationThomas, M. (2017). Realistic relativistic stellar anisotropic models with equation of state, Dodoma: The University of Dodomaen_US
dc.identifier.urihttp://hdl.handle.net/20.500.12661/504
dc.language.isoenen_US
dc.publisherThe University of Dodomaen_US
dc.subjectAnisotropicen_US
dc.subjectEinstein fielden_US
dc.subjectDurgapalen_US
dc.subjectBannerji’s variablesen_US
dc.subjectIsotropicen_US
dc.subjectSunzuen_US
dc.subjectFinite massesen_US
dc.subjectMinkowski spacetimeen_US
dc.subjectAnisotropyen_US
dc.subjectStellar anisotropic modelsen_US
dc.subjectStellar objectsen_US
dc.titleRealistic relativistic stellar anisotropic models with equation of stateen_US
dc.typeDissertationen_US
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