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Formation of primordial black holes after Starobinsky inflation
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abstract
We adapted the Appleby-Battye-Starobinsky model of $F(R)$ gravity towards describing double cosmological inflation and formation of primordial black holes with masses up to $10^{19}$ g in the single-field model. We found that it is possible to get an enhancement of the power spectrum of scalar curvature perturbations to the level beyond the Hawking (black hole evaporation) limit of $10^{15}$ g, so that the primordial black holes resulting from gravitational collapse of those large primordial perturbations can survive in the present universe and form part of cold dark matter. Our results agree with the current measurements of cosmic microwave background radiation within $3\sigma$ but require fine-tuning of the parameters.
Forward citations
Cited by 2 Pith papers
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A complete analysis of inflation with piecewise quadratic potential
A new parameter alpha governs the amplitude, slope, and dip of the curvature power spectrum in piecewise quadratic two-stage inflation, with maximum growth k^5(log k)^2.
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