ToddM4 said:
If dark matter really lives up to it's name and truly is some form of matter, then wouldn't it feed black holes given extreme gravitational regime in a black hole?
The bulk of the theoretical and observational work being done on this question involves predictions regarding how the properties of neutron stars (which also involve extreme gravitational effects) would be different (their so called "equation of state") if they had captured significant dark matter, estimates of how much dark matter neutron stars should have absorbed, and efforts to determine if observationally neutron star properties are a better fit to the with dark matter mixed in hypothesis or the without dark matter mixed in hypothesis.
Neutron stars are more attractive than black holes for this kind of research because they are much easier to observe directly.
There are probably a few new papers every month addressing this question.
See, e.g.,
this paper from last week entitled: "Towards Uncovering Dark Matter Effects on Neutron Star Properties: A Machine Learning Approach". There are about
123 papers in all at arXiv on this topic, using one fairly broad set of search terms.
The problem is that the anticipated differences in observable properties between neutron stars with and without dark matter are subtle, the properties of neutron stars without dark matter are hard to model and a subject of dispute, and the observations we have of neutron stars aren't terribly precise making distinguishing between the two hypotheses hard.
The best evidence of neutron star properties come from binary systems of a neutron star together with a black hole, another neutron star, or an ordinary star. But, neutron stars are, by definition, very small (on the order of a dozen miles across), which makes it tough to distinguish subtle differences in their properties at immense distances. One area of research focuses on the expected gravitational wave profile of neutron stars that collide and merge with or without significant dark matter components.
There is also work being done on how the properties of ordinary stars, especially our own Sun, should be different if they absorb a predicted quantity of dark matter. But, again, the predicted effects are subtle.