Possible Connection between Dark Matter and Supermassive Black Holes

TL;DR

This paper explores the potential connection between dark matter and supermassive black holes by constructing stable astrophysical objects based on dark matter profiles, which could mimic black holes at galactic centers.

Contribution

It introduces new stable solutions of Einstein equations representing dark matter-based objects that resemble black holes, offering an alternative explanation for galactic centers.

Findings

Constructed stable dark matter objects with different horizon structures.

These objects' effective potentials resemble those of Schwarzschild black holes.

Some solutions could replace standard black hole models at galactic centers.

Abstract

Dark Matter (DM) is usually studied in connection with rotational curves in the outskirts of the galaxies. However, the role of DM might be different in the galactic bulges and centers where Supermassive Black Holes (SMBHs) dominate the gravitational interaction. Indeed, given the fact that DM is the dominant matter species in the Universe, it is natural to assume a close connection between DM and SMBHs. Here we probe into this possibility by constructing stable objects with fuzzy mass distributions based on standard DM profiles. These astrophysical objects come out in three types: a fuzzy droplet without horizon and fuzzy Black Holes (BHs) with one or two horizons. We emphasize that all objects are solutions of Einstein equations. Their effective potentials which govern the motion of a test body, can display a reasonable similarity to the effective potential of a Schwarzschild BH at the galactic center. Therefore, some of our solutions could, in principle, replace the standard BH-picture of the galactic center and, at the same time, have the advantage that they have been composed of the main matter ingredient of the Universe.