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Constraints on the curvature power spectrum from primordial black hole evaporation
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abstract
We estimate the maximum allowed amplitude for the power spectrum of the primordial curvature perturbations, ${\cal P_R}(k)$, on all scales from the absence of any detection signals of sub-solar mass black holes. In particular we analyze the constraints on the PBHs and we focus on the low mass limit where the Hawking radiation is expected to significantly influence the big bang observables, considering also different early cosmic histories. We derive the upper bounds for the variance of density perturbations, $\sigma(M)$, for any possible reheating temperature as well as for the cosmological scenario of a scalar condensate domination. We expect our results to have considerable implications for models designed to generate PBHs, especially in the low mass range, and provide additional constraints to a large class of inflationary models.
Forward citations
Cited by 3 Pith papers
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From Primordial Black Holes Abundance to Primordial Curvature Power Spectrum (and back)
Using numerical relativity thresholds, cosmological perturbation theory, and peak theory, the authors derive updated upper limits on the small-scale primordial curvature power spectrum from primordial black hole abund...
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High-Energy Neutrinos from Black Hole Evaporation in Neutron Stars
Repeated collapse of asymmetric dark matter inside neutron stars into evaporating microscopic black holes can produce a Galactic-Center-concentrated high-energy neutrino flux at the 10^-12 GeV cm^-2 s^-1 level, subdom...
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Constraints on the primordial curvature power spectrum at small scales between $3\times 10^{18}$ and $4.5\times 10^{21}~\rm Mpc^{-1}$
Using recent bounds on light, memory-burdened primordial black holes, this paper derives new upper limits on the curvature power spectrum, roughly P_R < 10^-1.7, for wavenumbers 4.5e18 to 1.8e21 Mpc^-1.
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