2006
DOI: 10.1088/1475-7516/2006/01/011
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Forming sub-horizon black holes at the end of inflation

Abstract: Previous authors have calculated the mass function of primordial black holes only on scales which are well outside the horizon at the end of inflation. Here we extend the calculation to sub-horizon scales, on which the density perturbation never becomes classical. Regarding the formation of black holes as a 'measurement' of the (high peaks) of the density perturbation, we estimate a mass function by assuming that black holes form as soon as inflation ends, in those rare regions where the Bardeen potential exce… Show more

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Cited by 37 publications
(68 citation statements)
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References 24 publications
(57 reference statements)
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“…[55]. We assume that reheating is rapid and, correspondingly, the moment of the end of inflation coincides with the moment of a beginning of the radiation epoch.…”
Section: Time Dependence Of the Gravitational Potentialmentioning
confidence: 99%
“…[55]. We assume that reheating is rapid and, correspondingly, the moment of the end of inflation coincides with the moment of a beginning of the radiation epoch.…”
Section: Time Dependence Of the Gravitational Potentialmentioning
confidence: 99%
“…We used this fact in Ref. [10] to give an estimate of the mass fraction of PBHs. Here in order to extend the calculation to scales of the order of the horizon scale at the end of inflation, we calculate B(x e ) numerically.…”
Section: B Pbh Abundancementioning
confidence: 99%
“…The Fourier components of the density contrast and the curvature perturbation are related by [25] 10) so that, at horizon crossing, P δ = (4/9)…”
Section: Figmentioning
confidence: 99%
See 1 more Smart Citation
“…Here, R k ð i Þ is the Fourier component of the curvature perturbation on the comoving hypersurfaces at the end of inflation (see, e.g., [43]). The connection between values of the smoothing mass M, density contrast H R , and PBH mass M BH can be expressed in the general form…”
Section: Pbh Mass Spectrum Calculationmentioning
confidence: 99%