This paper articulates a new solution for modified field equations in the realm of non-conserved Rastall theory of gravity with a quintessence field stipulated by the parameter Formula: see text such that –1 Formula: see text –Formula: see text. Tolman-Kuchowicz metric functions are taken as a seed solution to solve the governing modified field equations in a static and spherically symmetric geometry with an isotropic matter configuration. A rigorous physical analysis is performed to investigate the various characteristics of the proposed model for six different stars named as; 4U1538 – 52, V elaX – 12, 4U1608 – 52, SAXJ1808.4–3658(SS1), HerX–1 and PSRJ1614–2230. Moreover, the expressions for constants (a, B, D) involved in metric potentials are extracted through matching conditions by Schwarzchild metric, best fit for external geometry. Significantly, the comparative analysis between presented Rastall model’s and general relativity’s results has also been conducted numerically given in the tables, which shows that the presented Rastall model provide more accurate results, near to the standard results, than general relativity counterpart. Additionally, some physical attributes of the model are analyzed by using different recommended analytical tests including energy conditions, sound speed, hydrostatic equilibrium through TOV equation etc. In the nutshell, it is concluded that this presented model satisfy all the conditions necessary for a physically viable stellar model and is also more aligned with the observational results than the general relativity.
Shahzad et al. (Thu,) studied this question.