Generating fuzzy dark matter droplets

Abstract

This research aims to explore the possibility of constructing black hole (BH) surrounded by fuzzy dark matter (DM) haloes, based on the Einasto density profile. Furthermore, the study offers the possibility of including DM as the matter component making up the BH and also presents a generalization of the non-commutative mini BH models. We describe how the coupling of the Einasto profile with an anisotropic stress–energy tensor gives rise to different BH solutions corresponding to each value of the Einasto index and the rescaled mass parameter. The assumption of de Sitter-type equation of state (EOS), i.e., ρ=−pr, offers the possibility of constructing BH solution or a fuzzy self-gravitational DM droplet based on the values of the mass parameter. However, in the case of a non-local EOS, the corresponding structure can be a self-gravitational fuzzy DM droplet with negative radial pressure. Finally, we consider the possibility of BHs originating from DM existing in galactic centers. Mainly, we examine whether such types of BHs could possibly serve as the central objects within galaxies.