A new calculation of the mass fraction of primordial black holes

Details A new calculation of the mass fraction of primordial black holes A new calculation of the mass fraction of primordial black holes

2004-03-08

arxiv.org/abs/astro-ph/0403181v2

Phys.Rev.D70:041502,2004

Astronomy and Astrophysics

Astrophysics

5 pages, 1 figure, minor changes to match version to appear in Phys. Rev. D as a rapid communication

Scientific paper

10.1103/PhysRevD.70.041502

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.

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