Pastory, Makalo2023-03-312023-03-312022http://hdl.handle.net/20.500.12661/3624Dissertation (MSc Mathematics)Using embedding approach, this study presents exact solutions to the Einstein field equations for anisotropic neutral stars in more generalized form. The study involves a generalization of the choice of metric potential made by Mathias, Maharaj, Sunzu and Mkenyeleye in which the choice of metric potential is in more specific form. Under embedding approach, one of the metric potentials is chosen on physical grounds while the Karmarkar condition is used to generate the second metric potential. Modelled masses and radii in acceptable ranges for neutral stars are found. Moreover, masses and radii consistent with stars like LMCX-4, Her X-1, cen X-3, 4U 1538-52, vela X-1, and SAX J1808.4-3658 are also generated.AstrophysicsAnisotropyAnisotropic neutral starsNeutral starsMetric potentialEmbedded approach