Self-consistent embedded anisotropic quintessence compact stars in Rastall gravity via linear equation of state

This study is devoted to exploring the stellar structures by employing the spherically static symmetric space-time in Rastall gravity via embedding approach. We calculate the modified field equations by plugging the quintessence field with an anisotropic source of fluid. Further, we match the exterior and interior solutions to calculate the junction conditions. By imposing the junction conditions, we calculate the values of involved parameters. Here, we use the observational data of 4U 1608-52, Cen X-3 and EXO 1785-240. We explore the basic properties of stellar structures like energy density, anisotropy, quintessence density, radial and tangential pressures. We also calculate the speeds of sound parameters and casuality criterion to discuss the stability of the stellar objects. The equilibrium criterion via TOV equation, redshift function, compactness, and mass function are also discussed. All these physical parameters show the viability and stability of the stellar objects in Rastall gravity.