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Primordial black holes (PBHs) are those which may have formed in the early Universe and affected the subsequent evolution of the Universe through their Hawking radiation and gravitational field. To constrain the early Universe from the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-13 Tomohiro Harada

We consider the formation of primordial black holes (PBHs), during the radiation-dominated Universe, generated from the collapse of super-horizon curvature fluctuations that are overlapped with others on larger scales. Using a set of…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Albert Escrivà , Chul-Moon Yoo

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

Primordial black holes (PBHs) can form from gravitational collapse of large overdensities in the early Universe, giving rise to rich phenomena in astrophysics and cosmology. We develop a novel, general, and systematic method based on theory…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-09 Shi Pi , Misao Sasaki , Volodymyr Takhistov , Jianing Wang

In this chapter we first describe the early history of primordial black hole (PBH) research. We then discuss their possible formation mechanisms, including critical collapse from inflationary fluctuations and various types of phase…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-24 Bernard Carr , Florian Kuhnel

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

Primordial black holes (PBHs) may have formed through the gravitational collapse of cosmological perturbations that were generated and stretched during the inflationary era, later entering the cosmological horizon during the decelerating…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Tomohiro Harada

Primordial black holes may have formed in the radiative era of the early Universe from the collapse of large enough amplitude perturbations of the metric. These correspond to non linear energy density perturbations characterized by an…

General Relativity and Quantum Cosmology · Physics 2020-01-06 Ilia Musco

Primordial black holes (PBHs) may be part of the dark matter. It is shown here that PBHs form more easily during cosmic phase transitions. For approximately scale-invariant primordial curvature fluctuations the PBH mass function may…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-18 Karsten Jedamzik

In the model where Primordial Black Holes (PBHs) form from large primordial curvature (C) perturbations, i.e., CPBHs, constraints on PBH abundance provide in principle constraints on the primordial curvature power spectrum. This connection…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-15 Alba Kalaja , Nicola Bellomo , Nicola Bartolo , Daniele Bertacca , Sabino Matarrese , Ilia Musco , Alvise Raccanelli , Licia Verde

Primordial black holes (PBH) can form in the early Universe from peaks of the primordial curvature perturbations. The statistics of the peaks determines the abundance of PBHs, and is related to the amplitude of the primordial curvature…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-09 Alexander Gallego Cadavid , Antonio Enea Romano

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

Primordial black holes (PBHs) may form in the early universe when pre-existing adiabatic density fluctuations enter into the cosmological horizon and recollapse. It has been suggested that PBH formation may be facilitated when fluctuations…

Astrophysics · Physics 2008-11-26 K. Jedamzik , J. C. Niemeyer

Primordial black holes (PBHs) are an important tool in cosmology to probe the primordial spectrum of small-scale curvature perturbations that reenter the cosmological horizon during radiation domination epoch. We numerically solve the…

General Relativity and Quantum Cosmology · Physics 2014-01-31 Tomohiro Nakama , Tomohiro Harada , A. G. Polnarev , Jun'ichi Yokoyama

We revisit the scenario of primordial black hole (PBH) formation from large curvature perturbations generated during the waterfall phase transition in hybrid inflation models. In a minimal setup considered in the literature, the mass and…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-12 Yuichiro Tada , Masaki Yamada

We provide a (simplified) quantum description of primordial black holes at the time of their formation. Specifically, we employ the horizon quantum mechanics to compute the probability of black hole formation starting from a simple quantum…

General Relativity and Quantum Cosmology · Physics 2019-09-04 R. Casadio , A. Giugno , A. Giusti , M. Lenzi

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

Recent developments in the study of primordial black holes (PBHs) will be reviewed, with particular emphasis on their formation and evaporation. PBHs could provide a unique probe of the early Universe, gravitational collapse, high energy…

Astrophysics · Physics 2008-11-26 B. J. Carr

Using the concept of apparent horizon for dynamical black holes, we revisit the formation of primordial black holes (PBH) in the early universe for both linear and non-linear regimes. First, we develop the perturbation theory for…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Alireza Allahyari , Javad T. Firouzjaee , Ali Akbar Abolhasani

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
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