Minimally deformed regular Hayward black hole solutions in Rastall theory

Abstract

Abstract We profit from the minimal geometric deformation technique of
gravitational decoupling and extend the regular Hayward black hole,
to derive new black hole solutions in the context of Rastall theory.
The field equations with an extended matter source are decoupled
into two subsystems. The first of these are specified by the metric
components of the regular Hayward black hole while the second set
which contains the effects of the added source is solved by
utilizing a constraint imposed via a linear equation of state. By a
linear combination of the solutions of these two subsystems, we
obtain two cases of the extended solutions. For specified values of
the Rastall and decoupling parameters, we investigate some
physical/thermodynamical properties of the obtained 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.