Realistic anisotropic Karmarkar stars in Rastall gravitational framework

In this study, we discuss the anisotropic matter distribution of compact stars in the context of Rastall modified theory of gravity by applying Karmarkar condition of embedding technique. For this purpose, we consider the spherical symmetric geometry and solve the resulting Rastall field equations by taking different values of Rastall parameter, i.e., ξ=0.05,ξ=−0.05, and ξ=−0.15into account. Since the Karmarkar condition links both metric potentials through a differential equation and allows one to pick one of the metric potential, so we pick a well-known interesting form of grrcomponent of metric as eλ(r)=1+cr21+ar2n(1+br2)2. We elaborate the properties of compact stars Vela X-1, 4U 1820-30 and SAX J 1808.4-3658 for different positive values of n, i.e., 1.8≤n