New calculation of the mass fraction of primordial black holes

Green, Anne, Liddle, Andrew, Karim, Malik and Sasaki, Misao (2004) New calculation of the mass fraction of primordial black holes. Physical Review D, 70 (4). ISSN 1550-7998

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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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Depositing User: Andrew Liddle
Date Deposited: 06 Feb 2012 18:14
Last Modified: 03 Jul 2019 00:01

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