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A new calculation of the mass fraction of primordial black holes
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abstract
We revisit the calculation of the abundance of primordial black holes (PBHs) formed from primordial density perturbations, using a formation criterion derived by Shibata and Sasaki which refers to a metric perturbation variable rather than the usual density contrast. We implement a derivation of the PBH abundance which uses peaks theory, and compare it to the standard calculation based on a Press--Schechter-like approach. We find that the two are in reasonable agreement if the Press--Schechter threshold is in the range $\Delta_{{\rm th}} \simeq 0.3$ to 0.5, but advocate use of the peaks theory expression which is based on a sounder theoretical footing.
Forward citations
Cited by 13 Pith papers
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The statistics of curvature-profile dispersion in primordial black hole formation
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Angular momentum of vacuum bubbles in a first-order phase transition
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In the trace anomaly effective theory, the anomalyon's curvature perturbation has a power spectrum growing as k^2, which can seed primordial black holes on short scales.
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Tensor induced gravitational waves
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