Abstract

In this work, we investigate the Rastall–Maxwell theory around the strange quark matter (SQM) in the presence of a quintessence field and a quintessence dark energy having a characteristic parameter [Formula: see text] such that [Formula: see text]. The SQM is governed by the simplified MIT bag model equation of state: [Formula: see text], with [Formula: see text] the bag constant, in the presence of a load distribution given by [Formula: see text]. We find some solutions by using the modified Tolman–Oppenheimer–Volkoff (TOV) equation in the framework of Rastall gravity. We investigate the energy condition, the mass–radius relation, modified TOV equation, redshift and the stability of the system is checked by exploring the adiabatic index, the compactification factor and the causality condition for verifying the physical consistency of our model. We notify that for physical values of Rastall parameter, the stellar system is more massive compared to its size. Hence, it is revealed that the alternative Rastall theory is appropriate to explain the behavior of massive stellar objects. The presence of dark energy motivates us to consider that the existing strange stars are a mixture of both ordinary matter and quintessence matter in different proportions. The incorporation of quintessence matter with the real one describes the well-known SQM.

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