TY - JOUR

T1 - A new calculation of the mass fraction of primordial black holes

AU - Green, Anne M.

AU - Liddle, Andrew R.

AU - Malik, Karim A.

AU - Sasaki, Misao

PY - 2004/8/26

Y1 - 2004/8/26

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevD.70.041502

DO - 10.1103/PhysRevD.70.041502

M3 - Journal article

VL - 70

JO - Physical Review D

JF - Physical Review D

SN - 1550-7998

IS - 4

M1 - 041502

ER -