Astronomy and Astrophysics – Astrophysics
Scientific paper
2002-03-29
Phys.Lett. B535 (2002) 11-16
Astronomy and Astrophysics
Astrophysics
10 pages, 3 figures; one typo corrected, version to appear in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(02)01803-8
The computation of PBH (primordial black hole) production from primordial perturbations has recently been improved by considering a more accurate relation between the primordial power spectrum and the PBH mass variance. We present here exact expressions which are valid for primordial spectra of arbitrary shape and which allow accurate numerical calculations. We then consider the possibility to have a significant part of dark matter in the form of PBHs produced by a primordial spectrum of inflationary origin possessing a characteristic scale. We show that in this model the relevant PBH mass is constrained to lie in the range $5\times 10^{15} {\rm g}\lesssim M \lesssim 10^{21} {\rm g}$. This is much less than the mass range coming from the QCD phase transition, allowing the two mechanisms to be easily distinguished.
Blais David
Kiefer Claus
Polarski David
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