Isotropic compact stars model in Rastall theory admitting conformal motion

We study a new solution for an isotropic compact star model admitting conformal motion in the background of Rastall theory. The conformal Killing vector ( CKV) and the equation of state ( EoS) p =.., where. satisfying 0 <. < 1 is the EoS parameter for normal matter distribution, are the main ingredients of our methodology. Several physical aspects of the model has been explored analytically to observe the behavior of compact stars such as TOV equation, energy conditions, Buchdahl condition, stability analysis, compactness and surface redshift. Graphical analysis of the physical parameters have also been presented to support our analytical investigation. We observed that all the physical requirements are fulfilled and the presented model is quite acceptable.