Accurate results for primordial black holes from spectra with a distinguished scale
arXiv:astro-ph/0206262 · doi:10.1103/PhysRevD.67.024024
Abstract
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 powerlaw 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 . 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 . For a spectrum with large oscillations near , 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 mass in the range .
16 pages, 7 figures, minor conceptual clarifications included, references added, to appear in Phys. Rev. D
References in corpus (5)
- Can Primordial Black Holes be a Significant Part of Dark Matter ?
- Scale Dependent Spectral Index in Slow Roll Inflation
- Primordial Black Holes from inflationary models with and without Broken Scale Invariance
- Classicality of primordial fluctuations and Primordial Black Holes
- Primordial Black Holes in an Accelerating Universe
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