Role of Rastall gravity in constructing new spherically symmetric stellar solutions

Abstract

This paper formulates new stellar solutions corresponding to a static spherical spacetime through the minimal gravitational decoupling in the context of Rastall theory. For this, we initially adopt a seed source to be the isotropic and then add a new gravitating matter source whose impact is controlled by the decoupling parameter. The addition of the later source enhances the degrees of freedom in the corresponding equations of motion. To reduce them, we apply the geometric transformation only to a radial metric potential that divides the field equations into two sets, each of them govern the impact of only one source. Afterwards, we take into account the Schwarzschild solution to make the metric potentials known. Moreover, different constraints on the components of newly added source are employed to develop some suitable solutions of the second system. We construct three different solutions to the total fluid distribution and check their graphical behavior for certain parametric values. Finally, we conclude all our resulting models to be agree with the energy conditions in this extended theory.