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On the Primordial Black Hole Mass Function for Broad Spectra
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abstract
We elaborate on the mass function of primordial black holes in the case in which the power spectrum of the curvature perturbation is broad. For the case of a broad and flat spectrum, we argue that such a mass function is peaked at the smallest primordial black mass which can be formed and possesses a tail decaying like $M^{-3/2}$, where $M$ is the mass of the primordial black hole.
Forward citations
Cited by 3 Pith papers
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Evaporating cosmologically coupled black holes
If a black hole's mass grows with cosmic expansion, Hawking evaporation is slowed or reversed, weakening gamma-ray bounds on primordial black holes.
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Revisiting PBH accretion, evaporation and their cosmological consequences
Relativistic accretion onto Kerr primordial black holes gives roughly 4.5x mass growth and fast spin-down, strengthening BBN bounds, lowering the survival mass to ~2.7e14 g, and erasing the high-frequency stochastic g...
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The Irrelevance of Primordial Black Hole Clustering in the LVK mass range
Initial spatial clustering of primordial black holes is irrelevant for binary mergers in the LVK mass range because FIRAS spectral-distortion constraints limit the clustering scale to below the merger-relevant separat...
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