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The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

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arxiv 2011.03014 v2 pith:4LVR62R2 submitted 2020-11-05 astro-ph.CO gr-qchep-ph

classification astro-ph.COgr-qchep-ph
keywords blackprimordialthresholdcosmologicalformationholehorizonlinear
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Primordial black holes could have been formed in the early universe from non linear cosmological perturbations re-entering the cosmological horizon when the Universe was still radiation dominated. Starting from the shape of the power spectrum on superhorizon scales, we provide a simple prescription, based on the results of numerical simulations, to compute the threshold $\delta_c$ for primordial black hole formation. Our procedure takes into account both the non linearities between the Gaussian curvature perturbation and the density contrast and, for the first time in the literature, the non linear effects arising at horizon crossing, which increase the value of the threshold by about a factor two with respect to the one computed on superhorizon scales.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Primordial Black Hole from Tensor-induced Density Fluctuation: First-order Phase Transitions and Domain Walls

    astro-ph.CO 2026-05 unverdicted novelty 6.0 of 10

    Tensor perturbations from FOPT and domain-wall sources are claimed to induce second-order scalar perturbations large enough to form primordial black holes, potentially all of the dark matter.

  2. Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves

    astro-ph.CO 2026-04 unverdicted novelty 5.0 of 10

    Purely quadratic non-Gaussianity from tachyonic instability allows narrow curvature spectra to exponentially suppress primordial black hole overproduction via correlation coefficient ρ approaching -1 while retaining s...

  3. Are Primordial Black Holes Truly Fine-Tuned?

    astro-ph.CO 2025-12 conditional novelty 5.0 of 10

    Using a normalized sensitivity measure γ=c/c̄, the authors find γ≈1 for three single-field ultra-slow-roll inflation models and conclude PBH production is not technically unnatural.

  4. Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer

    astro-ph.CO 2025-08 conditional novelty 5.0 of 10

    A Bayesian analysis shows that a future sub-solar PBH detection would make the primordial SIGW interpretation of PTA data favored over the SMBH interpretation, but this preference is driven by the detection prior.

  5. Tensor induced gravitational waves

    astro-ph.CO 2025-07 conditional novelty 4.0 of 10

    Second-order tensor-induced gravitational waves can shift the inferred parameters of small-scale primordial gravitational wave models fitted to NANOGrav 15-year data, with one model favored by Bayes factors.

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