Anisotropic stellar model with class one spacetime and barotropic equation of state

Abstract

This work presents a realistic stellar model that merged two different approaches in generating a   charged anisotropic model. The class one spacetime is used with the Einstein-Maxwell field equations and a barotropic equation of state to investigate various physical properties and behavior of compact stars. The barotropic equation of state  used to investigate the behavior of compact stellar objects by examining the cosmological constant. The model describes the properties of the phantom dark energy whose cosmological setting is given when . The barotropic equation of state is equated with the Einstein-Maxwell field equations to obtain the electric field. Then, the class one spacetime is introduced to investigate Einstein-Maxwell field equations. In generating the model, the spacetime manifold was assumed to be flat, static, spherical and symmetric. The gravitational potential  was specified on physical grounds. The chosen metric function  was free from geometric singularities. The physical analysis shows that, metric functions specifically  and  exhibit behavior free from geometric singularities and align with expected patterns. Stability criteria as assessed through the adiabatic index are met confirming the model's viability. The study confirms that the model adheres to essential physical criteria including mass profiles, electric fields, compactness factors and charge density.