Christopher, J.2024-03-142024-03-142023Christopher, J. (2023). Charged anisotropic conformal star model with a quadratic equation of state, (Master's Dissertation) The University of Dodoma.https://repository.udom.ac.tz/handle/20.500.12661/4300A new exact solution to the Einstein-Maxwell field equations describing the properties of a charged anisotropic compact star is generated. This is achieved by combining a conformal Killing vector and a quadratic equation of state. The utilization of the conformal Killing vector resulted in an equation relating the gravitational potential functions. The quadratic equation of state is used with the Einstein-Maxwell field equations to obtain an equation for the electric field intensity. Then, one of the gravitational potentials is specified on physical grounds to obtain the second gravitational potential and matter variables. The study on charged anisotropic compact stars through merging the conformal symmetry and a quadratic equation of state is missing in the existing literature. The class of solution obtained undergoes several analysis for the acceptable physical conditions for the realistic compact star models. A comprehensive exploration of the physical aspects demonstrates the well-behaved nature of the gravitational potentials and matter variables. Smooth matching of the interior and exterior metrics is achieved at the boundary. The gravitational potentials are free from physical and geometric singularities. Furthermore, the energy conditions are satisfied, and the mass-radius ratio and surface redshifts remain within acceptable ranges. Equilibrium is also achieved with balanced physical forces. The model’s stability against gravitational collapse is also satisfied.enThesis