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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

In a Universe with nearly-Gaussian initial curvature perturbations, the abundance of primordial black holes can be derived from the curvature power spectrum. When the latter is enhanced within a narrow range around a characteristic scale,…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-25 Jacopo Fumagalli , Jaume Garriga , Cristiano Germani , Ravi K. Sheth

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) can form in the early Universe from the collapse of rare, large density fluctuations. They have never been observed, but this fact is enough to constrain the amplitude of fluctuations on very small scales which…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-20 Sam Young , Christian T. Byrnes

In this paper, the criterion used to determine whether a density perturbation will collapse to form a primordial black hole (PBH) is re-examined, in respect of its use to determine the abundance of PBHs. There is particular focus on which…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-18 Sam Young

We propose that the totality of dark matter in the universe might ascribe its origin to one of the key properties of cosmological inflation, that it may be eternal: regions that at the end of the primordial accelerated expansion of the…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-10 G. Franciolini , M. Peloso , A. Riotto

We elaborate on the mass function of primordial black holes in the case in which the power spectrum of the curvature perturbation is broad. For the case of a broad and flat spectrum, we argue that such a mass function is peaked at the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 V. De Luca , G. Franciolini , A. Riotto

We perform $3+1$ relativistic numerical simulations to study primordial black hole (PBH) formation from the collapse of adiabatic super-horizon non-spherical perturbations generated from curvature fluctuations obeying random Gaussian…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Albert Escrivà , Chul-Moon Yoo

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

Aspects of primordial black holes, i.e. black holes formed in the early Universe, are reviewed. Special emphasis is put on their formation, their role as dark matter candidates and their manifold signatures, particularly through…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-25 Albert Escrivà , Florian Kuhnel , Yuichiro Tada

Primordial Black Holes (PBHs) that form from the collapse of density perturbations are more clustered than the underlying density field. In a previous paper, we showed the constraints that this has on the prospects of PBH dark matter. In…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 James R. Chisholm

We report on a novel phenomenon of the resonance effect of primordial density perturbations arisen from a sound speed parameter with an oscillatory behavior, which can generically lead to the formation of primordial black holes in the early…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-27 Yi-Fu Cai , Xi Tong , Dong-Gang Wang , Sheng-Feng Yan

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

We investigate Primoridal Black Hole (PBH) formation by which we mean black holes produced in the early universe during radiation domination. After discussing the range of PBH mass permitted in the original mechanism of Carr and Hawking,…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Paul H. Frampton

Primordial black holes (PBHs) are black holes that might have formed in high density regions in the early universe. The presence of local-type non-Gaussianity can lead to large-scale fluctuations in the PBH formation rate. If PBHs make up a…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-30 Raphaël van Laak , Sam Young

Building on the insight that primordial black holes can arise from the formation and subsequent gravitational collapse of bound states of stable supermassive elementary particles during the early radiation era, we offer a comprehensive…

High Energy Astrophysical Phenomena · Physics 2021-06-30 Krzysztof A. Meissner , Hermann Nicolai

There is controversy surrounding the origin and evolution of our universe's largest supermassive black holes (SMBHs). In this study, we consider the possibility that some of these black holes formed from the direct collapse of primordial…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-21 Dan Hooper , Aurora Ireland , Gordan Krnjaic , Albert Stebbins

Previous authors have calculated the mass function of primordial black holes only on scales which are well outside the horizon at the end of inflation. Here we extend the calculation to sub-horizon scales, on which the density perturbation…

Astrophysics · Physics 2009-11-11 David. H Lyth , Karim A. Malik , Misao Sasaki , Ignacio Zaballa

In this paper, we prove that extremal black holes arise on the threshold of gravitational collapse. More precisely, we construct smooth one-parameter families of smooth, spherically symmetric solutions to the Einstein-Maxwell-Vlasov system…

General Relativity and Quantum Cosmology · Physics 2024-02-16 Christoph Kehle , Ryan Unger

We present a novel \textit{gauge-invariant and minimal} formation mechanism of primordial black holes (PBHs) in first-order phase transition (FOPT) and domain walls (DW) separately. This is based on the first-order tensor perturbations,…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-20 Utkarsh Kumar , Anish Ghoshal