Fuzzified Hayward Black Hole Configurations within Dark Matter Halos

The study of the dark and abundantly existing component of matter in our universe remains one of the important challenges of modern astrophysics. It affects cosmic dynamics through its gravitational attraction to galactic systems. Due to its relevance in controlling galactic formations, its relationship with supermassive cores of galactic systems, such as black holes, is worthwhile to study. In this respect, this work explores an astrophysical correspondence of black holes and dark matter using the Einasto density distribution. In particular, we fuzzify the Hayward metric and construct analytical solutions describing self-gravitational compact interiors for different values of the shape parameter. We show that coupling of an anisotropic fluid distribution with de Sitter and nonlocal equations of state enables us to develop diverse stellar objects, including compact droplets (horizonless) and stellar black holes. The assumption of a non-local equation of state provides a unique class of fuzzified stellar configurations within the dynamics of general relativity. The presented relativistic exact solutions can be used to model supermassive galactic black holes.