Distribution of primordial black holes and 21cm signature

Abstract

We show that the number of primordial black holes (PBHs) which is originated from primordial density perturbations with moderately-tilted power spectrum fluctuates following the log-normal distribution, while it follows the Poisson distribution if the spectrum is steeply blue. The log-normal, as well as the Poisson, fluctuation of the PBH number behaves as an isocurvature mode and affects the matter power spectrum and the halo mass function in a different way from those for the Poisson case. The future 21cm observation can potentially put a stronger constraint on the PBH fraction than the current one in a wide mass range, $10^{-5}{M}_{\odot }$--$10M_{\odot }$.

19 pages, 11 figures

References in corpus (20)

• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Cosmology at Low Frequencies: The 21 cm Transition and the High-Redshift Universe
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Primordial Black Holes as Dark Matter
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Cosmic microwave background limits on accreting primordial black holes
• Effect of Primordial Black Holes on the Cosmic Microwave Background and Cosmological Parameter Estimates
• Primordial Black Holes as Generators of Cosmic Structures
• Calculating the mass spectrum of primordial black holes
• Primordial black hole formation from an axion-like curvaton model
• Solving puzzles of GW150914 by primordial black holes
• Inhomogeneous baryogenesis, cosmic antimatter, and dark matter
• The Spatial Clustering of Primordial Black Holes
• Black hole formation and slow-roll inflation
• Primordial black holes as biased tracers
• Constraint on the abundance of primordial black holes in dark matter from Planck data
• Signatures of primordial black holes as seeds of supermassive black holes
• Primordial black holes in the Dark Ages: Observational prospects for future 21cm surveys
• Revisiting Primordial Black Holes Constraints from Ionization History

Cited by in corpus (15)

• Constraints on Primordial Black Holes
• Clusters of primordial black holes
• A brief review on primordial black holes as dark matter
• Constraining the primordial black hole abundance with 21cm cosmology
• Clustering of primordial black holes with non-Gaussian initial fluctuations
• Primordial Black Holes from QCD Axion Bubbles
• Detecting the Stochastic Gravitational Wave Background from Primordial Black Hole Formation
• Primordial Black Holes from CDM Isocurvature Perturbations
• 21 cm Forest Constraints on Primordial Black Holes
• Small-scale primordial fluctuations in the 21cm Dark Ages signal
• Cosmological 21cm line observations to test scenarios of super-Eddington accretion on to black holes being seeds of high-redshifted supermassive black holes
• Anisotropies in Cosmological 21 cm Background by Oscillons/I-balls of Ultra-light Axion-like Particle
• Probing isocurvature perturbations with 21-cm global signal in the light of HERA result
• A narrow-band parameterization for the stochastic gravitational wave background
• Dark Matter Energy Deposition and Production from the Table-Top to the Cosmos