Phys. Rev. D 67, 024024 (2003) [11 pages]Accurate results for primordial black holes from spectra with a distinguished scaleReceived 14 June 2002; published 21 January 2003 We perform an accurate computation of the production rate for primordial black holes (PBHs). The reason is that the underlying mass variance had been overestimated systematically, as was shown recently. For scale-free power law primordial spectra, and for a universe with critical density, the mass variance is less than 34% of its value thought earlier for the spectral index in the range 1<~n<~1.3. We then extend our study to spectra with a characteristic scale and find the accurate shape of the corresponding mass variance. For a pure step in the primordial spectrum, the step in the variance is smoothed around the characteristic scale ks. For a spectrum with large oscillations near ks, we find a pronounced bump in the variance. This could yield a significant part of the cold dark matter in the form of PBHs with a mass M in the range 5×1015g≲M≲1021g. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.024024
DOI:
10.1103/PhysRevD.67.024024
PACS:
04.62.+v, 98.80.Cq
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