Scientific article
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English

A note on the abundance of primordial black holes: Use and misuse of the metric curvature perturbation

Published inPhysics letters. B, vol. 828, 137035
Publication date2022
First online date2022-05-01
Abstract

The formation of Primordial Black Holes (PBHs) through the collapse of large fluctuations in the early universe is a rare event. This manifests itself, for instance, through the non-Gaussian tail of the formation probability. To compute such probability and the abundance of PBHs, the curvature perturbation is frequently adopted. In this note we emphasize that its use does not provide the correct PBH formation probability. Through a path-integral approach we show that the exact calculation of the PBH abundance demands the knowledge of multivariate joint probabilities of the curvature perturbation or, equivalently, of all the corresponding connected correlators.

Keywords
  • Curvature: perturbation
  • Black hole: primordial
  • Black hole: formation
  • Collapse
  • Correlation function
  • Fluctuation
  • Path integral
  • Non-Gaussianity
Citation (ISO format)
DE LUCA, Valerio, RIOTTO, Antonio Walter. A note on the abundance of primordial black holes: Use and misuse of the metric curvature perturbation. In: Physics letters. B, 2022, vol. 828, p. 137035. doi: 10.1016/j.physletb.2022.137035
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Article (Published version)
Identifiers
Journal ISSN0370-2693
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