Mathias, Alberto Kimbuya2023-05-222023-05-222022Mathias, A. K. (2022). Generalized anisotropic compact star models via embedding of dimensions (Doctoral thesis). The University of Dodoma, Dodomahttp://hdl.handle.net/20.500.12661/3760Thesis (PhD in Mathematics)The generalized anisotropic stellar models to the Einstein-Maxwell field equations are generated. The Karmarkar condition and an equation of state are used with the Einstein-Maxwell field equations to investigate various physical properties and behaviour of compact stars. The embedding approach provides a relationship between gravitational potentials. The general forms for the gravitational potentials, theme asure of anisotropy and the electric field intensity are specified on physical grounds to generate exact solutions to the Einstein-Maxwellfield equations. Thenon-linear Einstein Maxwellfield equations are transformed by adopting the Durgapaland Bannerji transformations. The approach of merging the Karmakar condition and an equation of state adopted in this study generates charged anisotropic models with astrophysical significance. The generated classes of charged anisotropic solutions reduce to several uncharged models with isotropic behaviour as special cases. Charged anisotropic models with embedding and an equation of state that reduce to neutral isotropic models are missing in the existing literature. The graphical representations for the generated models are presented to describe the structure and properties of relativistic compact stars. The detailed physical analysis on the results shows that the gravitational potentials and matter variables are well behaved. The stars are found to be stable under adiabatic indexes, all energy conditions are satisfied the regularity condition is not violated, forces under equilibrium conditions are balanced, and the matching conditions are satisfied at the boundary of the relativistic star.enGeneralized anisotropicCompact star modelsStar modelsAnisotropic star modelCharged anisotropic modelsEinstein-Maxwellfield equationsCompact starsThesis