Blue spectra and induced formation of primordial black holes

Abstract

We investigate the statistical properties of primordial black hole (PBH) formation in the very early Universe. We show that the high level of inhomogeneity of the early Universe leads to the formation of the first generation PBHs. %The existence of these PBHs This causes later the appearance of a dust-like phase of the cosmological expansion. We discuss here a new mechanism for the second generation of PBH formation during the dust-like phase. This mechanism is based on the coagulation process. We demonstrate that the blue power spectrum of initial adiabatic perturbations after inflation leads to overproduction of primordial black holes with $10^9$g$\le M\le 10^{15}$g if the power index is $n\ge 1.2$.

16 pages, 2 figures

References in corpus (3)

• Constraints on the density perturbation spectrum from primordial black holes
• Open Hybrid Inflation
• Tilted Hybrid Inflation

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• GUT-Scale Primordial Black Holes: Consequences and Constraints
• Fundamental Particle Structure in the Cosmological Dark Matter
• Clustering of primordial black holes: Basic results
• Antiprotons from primordial black holes
• PBH evaporation, baryon asymmetry,and dark matter
• Is there a Darwinian Evolution of the Cosmos? - Some Comments on Lee Smolin's Theory of the Origin of Universes by Means of Natural Selection
• Dilution of baryon asymmetry in the early universe due to primordial blackhole decay