Hybrid star model with Tolman-Buchdahl metric potentials in non-conservative theory of gravity

In this study, we propose a streamlined approach to analyze the characteristics of compact stars with a unique equation of state resulting from the hybridization of dark matter and baryonic matter within the framework of Rastall gravity. The impact of dark energy on the star's interior is investigated by introducing a linear coupling parameter beta (called the Rastall parameter). The interior space-time model is developed using metric potentials e(v) = A + Br-2 and e(lambda(r)) = a (1+br(2))/a-br(2) for temporal and spatial coordinates, respectively. The parameter b is set to 0.005 km(-2) for the specific stellar candidate PSRJ1614-2230. Physical features derived from the exact solutions of the Einstein field equations are analyzed by considering various choices of the Rastall parameter. The results indicate that the proposed model satisfies the necessary conditions for a stable and physically plausible stellar structure.