Realistic and dark stellar models via embedding approach in the Rastall gravity

This study explores the Rastall theory of modified gravity for three different compact stars based on observational facts, by assuming the Karmarkar condition with an anisotropic fluid profile. We adopt an explicit g(rr) metric potential element, which fulfills the important condition (Karmarkar condition). The new model permits to solve the differential equation for another metric component g(tt) by exploiting the Karmarkar condition. Further, we present the interior solution in the allusion of the Schwarzchild interior comparable solution for Rastall theory, which is physically suitable. Moreover, we explore some physically essential attributes by using the masses and radii from observational data for three different stellar objects. It is perceived that the acquired results are physically considerable to the best degree of accuracy. All the physically essential parameters and properties are presented graphically, and these graphs display the calculated solutions that are feasible for three different stellar objects. It is noticed that the parameter c, appearing in the family of solutions that are satisfying the Karmarkar condition for the anisotropic matter, has some vital role for these solutions. Furthermore, we also explore dark stars by taking positive values of the Rastall parameter. We observe that our results are in agrement with in the framework of the Rastall gravity.