Tau.Neutrino said:
Black Holes May Hide Cores of Pure Dark Energy That Keep The Universe Expanding
A fifty-year-old hypothesis predicting the existence of bodies dubbed Generic Objects of Dark Energy (GEODEs) is getting a second look in light of a proposed correction to assumptions we use to model the way our Universe expands.
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I still prefer the cosmological constant as an explanation of dark energy. Not GEODEs.
That said, it has been speculated that concentrated dark energy could build up inside black holes to oppose the gravitational infall. Not like gas pressure because gravity attracts pressure as well as mass. I think it very unlikely, but not totally impossible.
Tau.Neutrino said:
What would happen if dark matter was near a black hole?
Best guess is that it would fall in just like baryonic matter. Baryon number conservation fails inside a black hole, and that lets the nonbaryonic dark matter behave just like normal baryonic matter.