Quintessence stellar model in Rastall gravity

In this investigation report, we present the analysis of a stellar model formed by ordinary matter and quintessence-type matter in the frame of Rastall’s gravitation theory. The ordinary matter with a state equation for the radial pressure [Formula: see text], where [Formula: see text] is the so called MIT Bag constant and the quintessence-type matter, with density [Formula: see text] and tangential state equation of the form [Formula: see text], with [Formula: see text]. Through an analytic and graphic analysis, it is shown that the proposal is consistent with the expected behavior of the hydrostatic functions and, in particular, it’s focused on the analysis taking the observational data of the mass [Formula: see text] and radius [Formula: see text] [Formula: see text]km corresponding to the star PSR [Formula: see text]. We obtain the central density of the ordinary matter [Formula: see text] [Formula: see text]kg/m 3 and the MIT Bag constant [Formula: see text] which changes depending on the compactness and the Rastall parameter but its values are independent from the parameter of the quintessence matter w.