Bounds from Primordial Black Holes with a Near Critical Collapse Initial Mass Function

Abstract

Recent numerical evidence suggests that a mass spectrum of primordial black holes (PBHs) is produced as a consequence of near critical gravitational collapse. Assuming that these holes formed from the initial density perturbations seeded by inflation, we calculate model independent upper bounds on the mass variance at the reheating temperature by requiring the mass density not exceed the critical density and the photon emission not exceed current diffuse gamma-ray measurements. We then translate these results into bounds on the spectral index n by utilizing the COBE data to normalize the mass variance at large scales, assuming a constant power law, then scaling this result to the reheating temperature. We find that our bounds on n differ substantially (δn > 0.05) from those calculated using initial mass functions derived under the assumption that the black hole mass is proportional to the horizon mass at the collapse epoch. We also find a change in the shape of the diffuse gamma-ray spectrum which results from the Hawking radiation. Finally, we study the impact of a nonzero cosmological constant and find that the bounds on n are strengthened considerably if the universe is indeed vacuum-energy dominated today.

arXiv comment24 pages, REVTeX, 5 figures; minor typos fixed, two refs added, version to be published in PRD

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Cited by in corpus (16)

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• Fundamental Particle Structure in the Cosmological Dark Matter
• Clustering of primordial black holes: Basic results
• Domination of black hole accretion in brane cosmology
• Constraints on diffuse neutrino background from primordial black holes
• Cosmological constraints from evaporations of primordial black holes
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• Impacts of Hawking Radiation from Primordial Black Holes in Critical Collapse Model on the Light Element Abundances
• Clearing the Brush: The Last Stand of Solo Small Field Inflation
• Viability of primordial black holes as short period gamma-ray bursts
• Exploring Faraday rotation signatures and population bounds for primordial magnetic black holes