2009
DOI: 10.1103/physrevd.79.103511
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Constraints on amplitudes of curvature perturbations from primordial black holes

Abstract: We calculate the primordial black hole (PBH) mass spectrum produced from a collapse of the primordial density fluctuations in the early Universe using, as an input, several theoretical models giving the curvature perturbation power spectra PR(k) with large (∼ 10 −2 ÷ 10 −1 ) values at some scale of comoving wave numbers k. In the calculation we take into account the explicit dependence of gravitational (Bardeen) potential on time. Using the PBH mass spectra, we further calculate the neutrino and photon energy … Show more

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Cited by 56 publications
(86 citation statements)
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References 94 publications
(153 reference statements)
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“…On the second count, assuming that the formation of the PBHs coincided with the end of inflation, then the arguments we presented in section (I A) apply. Thus, using N as a discriminator we rule out A 0 > 3 and µ This model has also been analysed by [70], in which the authors use neutrino and γ− ray background data to constrain the PBH mass spectrum, which determines the spectral index on small scales k ∼ 15 Mpc −1 . Then assuming that the running mass model is correct they reconstruct the power spectrum, finding that on these small scales the spectrum is highly sensitive to the running of the spectral index.…”
Section: Discussionmentioning
confidence: 99%
“…On the second count, assuming that the formation of the PBHs coincided with the end of inflation, then the arguments we presented in section (I A) apply. Thus, using N as a discriminator we rule out A 0 > 3 and µ This model has also been analysed by [70], in which the authors use neutrino and γ− ray background data to constrain the PBH mass spectrum, which determines the spectral index on small scales k ∼ 15 Mpc −1 . Then assuming that the running mass model is correct they reconstruct the power spectrum, finding that on these small scales the spectrum is highly sensitive to the running of the spectral index.…”
Section: Discussionmentioning
confidence: 99%
“…[4,5], we investigated this case, and argued there that the relative large amplitude of the potential Ψ can be achieved on subhorizon scales and may lead to the overproduction of PBHs at the end of inflation. The constraint on the amplitude of the curvature perturbation is then tighter than the current bound from the PBHs formed throughout the radiation epoch [5] (for the constraints on the "standard" formation of PBHs see [6][7][8][9][10][11][12][13][14][15][16]). …”
Section: Introductionmentioning
confidence: 99%
“…At the time, highly peaked spectra for the primordial black holes was what was mostly considered and hence the effect of critical collapse scaling was thought to be roughly degenerate with more realistic initial mass spectra. In the literature, therefore, with notable exceptions such as [31], one mostly approximates the primordial black-hole mass to be identical with the horizon mass -or one simply scales the overall spectrum by some constant. Both approaches yield a specific functional form for the predictions of β in any given model.…”
Section: Introductionmentioning
confidence: 99%