Fermionic dark matter halos around supermassive black holes can form non-power-law spikes or even density depletions, depending on the fermion mass and degeneracy, instead of the universal r^-3/2 spike of power-law halos.
In the RAR case, when the central fermions are in a state of low degeneracy (θ0 ≪ − 1), we recover the resulting DM spike of ρ ∝ r−3/2 typical of cored halos as the NSIS (see Fig
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Fermionic Dark Matter spikes: origin and growth of Black Hole seeds
Fermionic dark matter halos around supermassive black holes can form non-power-law spikes or even density depletions, depending on the fermion mass and degeneracy, instead of the universal r^-3/2 spike of power-law halos.