Master Dissertations

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Modeling an isotropic charged relativistic matter with linear equation of state.
(The University of Dodoma, 2016) Danford, Petro
We ﬁnd new exact solutions to Einstein-Maxwell ﬁeld equation for charged anisotropy stellar bodies. We are considering the stellar object that is anisotropic and charged with linear equation of state consistent with quark stars. We have new choice of measure of anisotropy and adopted Sunzu’s metric function. The solutions are obtained after considering the transformed Einstein-Maxwell ﬁeld equations for charged anisotropic matter. In our models we regain previous anisotropic and isotropic results as a special case. Exact solutions regained in our models are those by Sunzu, Maharaj and Ray and those by Komathiraj and Maharaj. We have considered the space time geometry to be static spherically symmetry. The exact solutions to the Einstein-Maxwell ﬁeld equations corresponding to our models are found explicitly in terms of elementary functions namely simple algebraic functions. The obtained graphical plots and physical analyses for the gravitational potentials, the matter variables and the electric ﬁeld are well behaved.