Green, Anne M. and Liddle, Andrew R. and Malik, Karim A. and Sasaki, Misao (2004) A new calculation of the mass fraction of primordial black holes. Physical Review D, 70 (4). ISSN 1550-7998
Full text not available from this repository.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.