Minimally deformed regular Hayward black hole solutions in Rastall theory

Abstract We profit from the gravitational decoupling algorithm via the minimal deformation scheme and extend the regular Hayward black hole, thereby obtaining novel black hole models in the context of Rastall theory. The field equations sourced by multiple matter are decoupled into two systems. The initial set is determined by the metric potentials of the Hayward black hole while the second set which describes additional source is solved using a constraint given by an equation of state. The solutions of the subfield equations allow us to obtain two new solutions by combining them in a linear manner. For given values of the Rastall and decoupling parameters, their some thermodynamic characteristics are studied for the resulting models. It turns out that only the first model preserves asymptotic flatness. It is found that the first and second models are described by exotic and ordinary matter, respectively. Finally, we obtain an acceptable behavior of the Hawking temperature and thermodynamic stability for both models.