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 to 0.5, but advocate use of the peaks theory expression which is based on a sounder theoretical footing.
- Received 9 March 2004
DOI:https://doi.org/10.1103/PhysRevD.70.041502
©2004 American Physical Society