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Related papers: The Threshold for Primordial Black Hole Formation:…

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Primordial black holes (PBHs) may have formed in the early Universe and may account for all or part of the dark matter. In this review, we summarize the current observational constraints on PBHs across the full mass range, highlight…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-02 Bernard Carr , Antonio J. Iovino , Gabriele Perna , Ville Vaskonen , Hardi Veermäe

We numerically study the primordial black hole (PBH) formation by an isocurvature perturbation of a massless scalar field on super Hubble scales in the radiation-dominated universe. As a first step we perform simulations of spherically…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Chul-Moon Yoo , Tomohiro Harada , Shin'ichi Hirano , Hirotada Okawa , Misao Sasaki

Within the framework that primordial black holes are formed by the direct gravitational collapse of large primordial density perturbations in the radiation dominated stage, we derive the threshold of the density contrast for the formation…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-03 Minxi He , Teruaki Suyama

We consider several early Universe models that allow for production of large curvature perturbations at small scales. As is well known, such perturbations can lead to formation of primordial black holes (PBHs). We briefly review the today's…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-10 P. A. Klimai , E. V. Bugaev

We review the creation mechanism of primordial black holes from first order phase transitions. We discuss various model-dependent and independent mechanisms and relate the properties of these mechanisms to the properties of primordial black…

High Energy Physics - Phenomenology · Physics 2025-12-30 Indra Kumar Banerjee , Ujjal Kumar Dey , Shaaban Khalil

Primordial black holes (PBHs) are a profound signature of primordial cosmological structures and provide a theoretical tool to study nontrivial physics of the early Universe. The mechanisms of PBH formation are discussed and observational…

Astrophysics · Physics 2014-11-18 M. Yu. Khlopov

Primordial black holes (PBHs) are a compelling dark matter candidate and a unique probe of small-scale cosmological fluctuations. Their formation is usually attributed to large positive curvature perturbations, which collapse upon Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-24 Cristian Joana , Zi-Yan Yuwen

We study the formation of primordial black holes when they are generated by the collapse of large overdensities in the early universe. Since the density contrast is related to the comoving curvature perturbation by a nonlinear relation, the…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-01 V. De Luca , G. Franciolini , A. Kehagias , M. Peloso , A. Riotto , C. Ünal

It has recently been suggested that cosmologically significant numbers of black holes could form during a first-order QCD phase transition. Further, it has been asserted that these black holes would have masses corresponding naturally to…

Astrophysics · Physics 2007-05-23 Christian Y. Cardall , George M. Fuller

We review the formalism of primordial black holes (PBHs) production and show that the mass variance at horizon crossing has been systematically overestimated in previous studies. We derive the correct expression. The difference is maximal…

Astrophysics · Physics 2009-11-07 Torsten Bringmann , Claus Kiefer , David Polarski

Primordial black holes (PBHs) can form in the early Universe, for instance during radiation domination, from the collapse of large-amplitude density perturbations shortly after horizon re-entry. This mechanism establishes an approximate…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-25 Ashu Kushwaha , Teruaki Suyama

The most widely studied formation mechanism of a primordial black hole is collapse of large-amplitude perturbation on small scales generated in single-field inflation. In this Letter, we calculate one-loop correction to the large-scale…

High Energy Physics - Theory · Physics 2024-05-30 Jason Kristiano , Jun'ichi Yokoyama

Primordial black holes (PBHs) could be formed if large perturbations are generated on small scales in inflation. We study a toy inflation model with a local minimum. The curvature perturbations are enhanced when the inflaton passes through…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-01 Bao-Min Gu , Fu-Wen Shu , Ke Yang , Yu-Peng Zhang

We study the formation of primordial black holes (PBHs) in strongly supercooled first-order phase transitions. The mechanism is based on the presence of remnants dominated by the false vacuum that scale slower with the expansion of the…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-20 Marek Lewicki , Piotr Toczek , Ville Vaskonen

We reinspect the calculation for the mass fraction of primordial black holes (PBHs) which are formed from primordial perturbations, finding that performing the calculation using the comoving curvature perturbation $\mathcal{R}_{c}$ in the…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Sam Young , Christian T. Byrnes , Misao Sasaki

We consider the process of primordial black hole (PBH) formation originated from primordial curvature perturbations produced during waterfall transition (with tachyonic instability), at the end of hybrid inflation. It is known that in such…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-08 Edgar Bugaev , Peter Klimai

Primordial black holes may owe their origin to the small-scale enhancement of the comoving curvature perturbation generated during inflation. Their mass fraction at formation is markedly sensitive to possible non-Gaussianities in such…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-13 G. Franciolini , A. Kehagias , S. Matarrese , A. Riotto

Primordial black holes as dark matter may be generated in single-field models of inflation thanks to the enhancement at small scales of the comoving curvature perturbation. This mechanism requires leaving the slow-roll phase to enter a…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-26 Matteo Biagetti , Gabriele Franciolini , Alex Kehagias , Antonio Riotto

Small black holes should have formed in the early Universe if the density contrast was high enough. This article aims at giving a - biased and partial - short overview of the latest breakthroughs in this field. It first deals with tentative…

Astrophysics · Physics 2007-05-23 G. Boudoul , A. Barrau

Primordial black holes may have been produced in the early stages of the thermal history of the Universe after cosmic inflation. If so, dark matter in the form of elementary particles can be subsequently accreted around these objects, in…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-03 Mathieu Boudaud , Thomas Lacroix , Martin Stref , Julien Lavalle , Pierre Salati