Mturo, Johnson2024-08-152024-08-152023Mturo, J. (2023). Charged anisotropic quark star model via embedding (Master's Dissertation) The University of Dodomahttps://demorepository.udom.ac.tz/handle/20.500.12661/4529Dissertation ( MSc. Mathematics)This study, presents an exact solution to the Einstein-Maxwell field equations for charged anisotropic quark stars. By employing the embedding condition and a quark equation of state, a charged quark star model that holds significant physical and astrophysical implica- tions is generated. To facilitate the analysis, a nonlinear differential equation and the field equations are transformed using the Bannerji and Durgapal transformations, which allows us to specify the metric function based on physical considerations. The analysis reveals that both gravitational potentials and matter variables are well behaved and the model sat- isfies important physical conditions, including stability, equilibrium, energy conditions, the mass-radius relationship, compactness, surface redshift, measure of anisotropy and matching.enEinstein-Maxwell field equationsAnisotropic quark starsEinstein-MaxwellCharged anisotropic quark starsField equationsQuark starsStellar evolutionThesis