Master Dissertations

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Browsing Master Dissertations by Subject "Anisotropic linear equation"

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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.
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    Models for an isotropic stellar objects with no electric field.
    (The University of Dodoma, 2016) Lighuda, Avirt Simon
    In this dissertation, we generate solutions to Einstein-Maxwell field equations devoted to neutral anisotropic stellar objects using linear equation of state. The field equations are transformed by adopting Bannerji and Durgapal transformation. We generated the solutions to Einstein field equations and obtain matter variables and gravitational potentials by using the general differential equation governing the model. In our model isotropic results are regained as a special case. The plotted graphs and physical analysis show that matter variables and the gravitational potentials are all well behaved. That is, energy density, radial pressure, tangential pressure and gravitational potentials are finite, regular and continuous everywhere inside the stellar objects.