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Generalized quark star models with logarithmic pressure anisotropy

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dc.creator Juma, Mahamudu
dc.date 2021-01-26T06:28:14Z
dc.date 2021-01-26T06:28:14Z
dc.date 2020
dc.date.accessioned 2022-10-20T13:14:42Z
dc.date.available 2022-10-20T13:14:42Z
dc.identifier Juma, M. (2020). Generalized quark star models with logarithmic pressure anisotropy. (Master's Dissertation). The University of Dodoma. Dodoma.
dc.identifier http://hdl.handle.net/20.500.12661/2671
dc.identifier.uri http://hdl.handle.net/20.500.12661/2671
dc.description Dissertation (MSc Science in Mathematics)
dc.description The new exact solutions for the charged anisotropic stellar object were found by using Einstein-Maxwell field equations. In this study, the metric function, linear equation of state, and a new choice of the measure of anisotropy were used to formulate new quark star models. The field equations were transformed by adopting Bannerji and Durgapal transformation variables. The general differential equation governing the model was generated with the help of Einstein field equations, and the form of logarithmic measure of anisotropy. The exact solution for the models was obtained by specifying different values of the parameters used in the models. In this model, anisotropic and isotropic results were regained as a special case. We regained anisotropic models found by Maharaj, and isotropic models performed by Misner and Zapolsky, Harko and Mak, Maharaj and Komathiraj. The plotted graphs and physical analysis revealed that matter variables and the gravitational potentials were behaved well. Therefore the models satisfied the energy conditions, stability condition, and speed of sound that were consistent for quark stars.
dc.language en
dc.publisher The University of Dodoma
dc.subject Anisotropy
dc.subject Logarithmic pressure
dc.subject Stellar objects
dc.subject Metric function
dc.subject Linear equation
dc.subject Differential equation
dc.subject Gravitational potentials
dc.subject Stability condition
dc.subject Energy conditions
dc.subject Quark star
dc.title Generalized quark star models with logarithmic pressure anisotropy
dc.type Dissertation


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