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Correlation function of high-threshold regions and application to the initial small-scale clustering of primordial black holes

5 Pith papers cite this work. Polarity classification is still indexing.

5 Pith papers citing it
abstract

Primordial black holes (PBHs) have been brought back into the spotlight by LIGO's first direct detection of a binary-black-hole merger. One of the poorly understood properties of PBHs is how clustered they are at formation. It has important implications on the efficacy of their merging in the early Universe, as well as on observational constraints. In this work we study the initial clustering of PBHs formed from the gravitational collapse of large density fluctuations in the early Universe. We give a simple and general argument showing that, in this scenario, we do not expect clustering on very small scales beyond what is expected from a random, Poisson distribution. We illustrate this result explicitly in the case where the underlying density field is Gaussian. We moreover derive a new analytic expression for the two-point correlation function of large-threshold fluctuations, generalizing previous results to arbitrary separation, and with broader implications than the clustering of PBHs.

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background 4

citation-polarity summary

years

2026 5

verdicts

UNVERDICTED 5

roles

background 4

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background 4

representative citing papers

Opening the Window of Ultra-Light PBHs by Exorcising the Poltergeist

hep-ph · 2026-05-20 · unverdicted · novelty 6.0

Incorporating the general-relativity mass tail df_PBH/d ln M ∝ M^3.78 smooths PBH evaporation, suppresses the scalar-induced GW signal by orders of magnitude, and reopens the ultra-light PBH window for the hot Big Bang.

Inflation driven by repulsive-like primordial black holes

gr-qc · 2026-04-28 · unverdicted · novelty 5.0

Repulsive-like primordial black holes in the Swiss-cheese framework produce quasi-de Sitter expansion, enabling inflation with evaporation reheating and acting as early dark energy for certain masses and densities.

Hunting Dark Matter with the Einstein Telescope

astro-ph.CO · 2026-04-07 · unverdicted · novelty 5.0

Clustered primordial black holes may constitute all dark matter and produce a flat stochastic gravitational wave background detectable by the Einstein Telescope.

citing papers explorer

Showing 5 of 5 citing papers.

  • Gravitational Waves from Black Hole Reheating: The Scalar-Induced Component hep-ph · 2026-05-20 · unverdicted · none · ref 283 · internal anchor

    Accounting for the minimal mass spread of primordial black holes from gravitational collapse suppresses the Poltergeist GW background to the level of generic scalar-induced signals and reopens ultra-light PBH parameter space.

  • Opening the Window of Ultra-Light PBHs by Exorcising the Poltergeist hep-ph · 2026-05-20 · unverdicted · none · ref 63 · internal anchor

    Incorporating the general-relativity mass tail df_PBH/d ln M ∝ M^3.78 smooths PBH evaporation, suppresses the scalar-induced GW signal by orders of magnitude, and reopens the ultra-light PBH window for the hot Big Bang.

  • Smoluchowski Coagulation Equation and the Evolution of Primordial Black Hole Clusters astro-ph.CO · 2026-04-02 · unverdicted · none · ref 54

    Monte Carlo solutions to the Smoluchowski coagulation equation yield runaway timescales and mass evolution for primordial black hole clusters at different redshifts based on cluster properties.

  • Inflation driven by repulsive-like primordial black holes gr-qc · 2026-04-28 · unverdicted · none · ref 79

    Repulsive-like primordial black holes in the Swiss-cheese framework produce quasi-de Sitter expansion, enabling inflation with evaporation reheating and acting as early dark energy for certain masses and densities.

  • Hunting Dark Matter with the Einstein Telescope astro-ph.CO · 2026-04-07 · unverdicted · none · ref 15

    Clustered primordial black holes may constitute all dark matter and produce a flat stochastic gravitational wave background detectable by the Einstein Telescope.