Formation of primordial black holes after Starobinsky inflation

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.

arXiv comment9 pages, 3 figures, LaTeX; minor changes, figure 3 updated, references added

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• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Scalar induced gravity waves from ultra slow-roll Galileon inflation
• Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation
• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• E-models of inflation and primordial black holes
• Enhanced Curvature Perturbation and Primordial Black Hole Formation in Two-stage Inflation with a break
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• Proving the absence of large one-loop corrections to the power spectrum of curvature perturbations in transient ultra-slow-roll inflation within the path-integral approach
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
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• Quantum loop corrections in the modified gravity model of Starobinsky inflation with primordial black hole production
• Improved model of primordial black hole formation after Starobinsky inflation
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Untangling PBH overproduction in $w$-SIGWs generated by Pulsar Timing Arrays for MST-EFT of single field inflation
• Production of primordial black holes in improved E-models of inflation
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Superpotential method and the amplification of inflationary perturbations
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Generating large primordial fluctuations in single-field inflation for PBH formation