Browsing by Author "Mkenyeleye, J. M."
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Item Charged anisotropic fluid spheres with conformal symmetry(Springer, 2023) Jape, J. W.; Maharaj, S. D.; Sunzu, J. M.; Mkenyeleye, J. M.We generate charged anisotropic exact models to the Einstein–Maxwell field equations for static spacetime with a conformal Killing vector. The Einstein–Maxwell field equations are solved to generate a realistic stellar model with physical significance. The generated model satisfies important physical requirements. The interior and exterior metrics match smoothly at the stellar surface, the surface red shift and the compactification parameter are within the suggested limits, regularity is obeyed, the energy conditions are satisfied, the sphere is stable, and the natural physical forces are balanced. The class of exact solutions generated in our model regains several models found by various researchers in the past. These include the models of Buchdahl, Vaidya and Tikekar, Durgapal and Bannerji, amongst other well-known solutions. The existence of a conformal Killing vector provides a geometric basis for many astrophysical objects.Item Charged conformal stars and equation of state(Springer, 2023) Jape, J. W .; Sunzu, J. M.; Maharaj, S. D.; Mkenyeleye, J. M.Charged anisotropic fluid spheres admitting a conformal Killing vector with a linear equation of state are generated. Our approach incorporates a conformal symmetry and an equation of state to obtain the electric field intensity. The choice for one of the gravitational potentials from the conformal Killing relation is made on physical grounds to generate realistic stellar models with astrophysical significance. Several solutions generated in the past are contained in our generalized class of exact solution. The exact solutions satisfy several important physical conditions. The matching of the interior and exterior metrics is done smoothly at the stellar boundary. The mass, surface red shift, and compactness factor are compatible with observations. The stability requirement is obeyed, and the physical forces balance for equilibrium. The regularity condition is also satisfied.Item Generalized compact star models with conformal symmetry(Springer, 2021) Maharaj, S. D.; Sunzu, J. M.; Mkenyeleye, J. M.; Jape, J. M.We generate a new generalized regular charged anisotropic exact model that admits conformal symmetry in static spherically symmetric spacetime. Our model was examined for physical acceptability as realistic stellar models. The regularity is not violated, the energy conditions are satisfied, the physical forces balanced at equilibrium, the stability is satisfied via adiabatic index, and the surface red shift and mass–radius ratio are within the required bounds. Our conformal charged anisotropic exact solution contains models generated by Finch–Skea, Vaidya–Tikekar and Schwarzschild. Also, some recent charged or neutral and anisotropic or isotropic conformally symmetric models are found as special cases of our exact model. Our approach sing a conformal symmetry provides a generalized geometric framework for studying compact objects.