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A new calculation of the mass fraction of primordial black holes

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  • Anne M. Green
  • Andrew R. Liddle
  • Karim A. Malik
  • Misao Sasaki
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Article number041502
<mark>Journal publication date</mark>26/08/2004
<mark>Journal</mark>Physical Review D
Issue number4
Volume70
Publication StatusPublished
<mark>Original language</mark>English

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 Δth≃0.3 to 0.5, but advocate use of the peaks theory expression which is based on a sounder theoretical footing.