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Shibata and Sasaki [arXiv:gr-qc/9905064] introduced the so-called compaction function. Since then, it has been empirically established that the maximum value of this function (or its volume-averaged counterpart) in the long-wavelength…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Tomohiro Harada , Chul-Moon Yoo , Yasutaka Koga

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

In this letter, we argue and show numerically that the threshold to form primordial black holes from an initial spherically symmetric perturbation is, to an excellent approximation, universal, whenever given in terms of the compaction…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Albert Escrivà , Cristiano Germani , Ravi K. Sheth

We consider black holes which form from an initially spherically symmetric super-Hubble perturbation of a cosmological background filled by a perfect fluid $p=w \rho$ with $w\in (0,1]$. Previous work has shown that when $w = 1/3$…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Albert Escrivà , Cristiano Germani , Ravi K. Sheth

We provide evidence for a correspondence between the formation of black holes and the stability of circular null geodesics around the collapsing perturbation. We first show that the critical threshold of the compaction function to form a…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-29 Andrea Ianniccari , Antonio J. Iovino , Alex Kehagias , Davide Perrone , Antonio Riotto

Following on after two previous papers discussing the formation of primordial black holes in the early universe, we present here results from an in-depth investigation of the extent to which primordial black hole formation in the radiative…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Ilia Musco , John C. Miller , Alexander G. Polnarev

The possibility that primordial black holes (PBHs) form a part of dark matter has been considered over a wide mass range from the Planck mass ($10^{-5}~\rm g$) to the level of the supermassive black hole in the center of the galaxy.…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-13 Huan Zhou , Yujie Lian , Zhengxiang Li , Shuo Cao , Zhiqi Huang

Independently from the formation mechanism of primordial black holes in the early Universe, their generation is accompanied by a ringdown phase during which they relax to a stationary configuration and gravitational waves under the form of…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Valerio De Luca , Antonio J. Iovino , Antonio Riotto

We show that the abundance of primordial black holes, if formed through the collapse of large fluctuations generated during inflation and unless the power spectrum of the curvature perturbation is very peaked, is always dominated by the…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-01 A. Ianniccari , A. J. Iovino , A. Kehagias , D. Perrone , A. Riotto

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

Results are presented from general relativistic numerical computations of primordial black-hole formation during the radiation-dominated era of the universe. Growing-mode perturbations are specified within the linear regime and their…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ilia Musco , John C. Miller , Luciano Rezzolla , ;

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

We demonstrate a novel mechanism for producing dark compact objects and black holes through a dark sector, where all the dark matter can be dissipative. Heavy dark sector particles with masses above $10^4$ GeV can come to dominate the…

High Energy Physics - Phenomenology · Physics 2024-08-29 Joseph Bramante , Christopher V. Cappiello , Melissa D. Diamond , J. Leo Kim , Qinrui Liu , Aaron C. Vincent

We propose a model of inflation capable of generating a population of light black holes (about $10^{-16}$ - $10^{-14}$ solar masses) that might account for a significant fraction of the dark matter in the Universe. The effective potential…

High Energy Physics - Phenomenology · Physics 2018-01-10 Guillermo Ballesteros , Marco Taoso

We study the formation of primordial black holes (PBH) with ultra-slow-roll inflation when stochastic effects are important. We use the $\Delta N$ formalism and simplify the stochastic equations with an analytical constant-roll…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-19 Sami Raatikainen , Syksy Rasanen , Eemeli Tomberg

We numerically simulate the formation of Primordial Black Holes (PBHs) in a radiation-dominated Universe under the assumption of spherical symmetry, driven by the collapse of adiabatic fluctuations, for different curvature profiles $\zeta$.…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-19 Albert Escrivà

This paper is a biased review of primordial black hole (PBH) formation and abundance estimation. We first review the three-zone model for PBH formation to help an intuitive understanding of the PBH formation process. Then, for more accurate…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-19 Chul-Moon Yoo

The next generation of space-borne gravitational wave detectors may detect gravitational waves from extreme mass-ratio inspirals with primordial black holes. To produce primordial black holes which contribute a non-negligible abundance of…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Haoran Di , Yungui Gong

We investigate a new mechanism to create large curvature perturbations on small scales due to parameter resonance in a single-field inflationary model with a small periodic structure upon the potential. After reentering the horizon, the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 Rong-Gen Cai , Zong-Kuan Guo , Jing Liu , Lang Liu , Xing-Yu Yang

We investigate primordial black hole (PBH) formation in a cosmological scenario where curvature perturbations follow purely quadratic non-Gaussianity, $\zeta = A(\phi^2-\langle\phi^2\rangle)$, arising from tachyonic instability in…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-28 He-Xu Zhang , Mei Huang
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