We construct a new model for compact stars with anisotropic quintessence in Rastall gravity. The interior solution is derived by solving the field equations with a linear equation of state and the Tolman-Kuchowicz metric ansatz. The unknown constants due to the Tolman-Kuchowicz ansatz are calculated by using the matching of the interior solution with the exterior vacuum solution. The obtained model is analyzed graphically and analytically to check the necessary physical requirements, such as the behavior of energy density and pressure, energy conditions, mass-radius relation, stability via sound speed, and surface redshift. The numerical values of the physical parameters are also obtained and manifested in tabular form to clearly observe the impact of the Rastall parameter and Buchdahl limit on compactness. For this purpose, we used four representatives of known compact stars namely 4U 1820-30,PSRJ 1614-2230, Her X-1, and SAX J 1808.4-3658(SSI) with radii 10 km, 10.3 km, 7.7 km, and 7.07 km, respectively. We conclude that the model obtained in this investigation remains stable and compatible with all the necessary physical requirements.
Ashraf et al. (Thu,) studied this question.
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