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We show why the threshold for primordial black hole formation is universal (independent from the shape of the perturbation) when expressed in terms of the volume averaged compaction function. The proof is rooted in the self-similarity of…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-09 Alex Kehagias , Davide Perrone , Antonio Riotto

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

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 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…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-01 Ilia Musco , Valerio De Luca , Gabriele Franciolini , Antonio Riotto

First results of a numerical investigation of primordial black hole formation in the radiation dominated phase of the Early Universe are presented. The simulations follow the gravitational collapse of three different families of…

Astrophysics · Physics 2007-05-23 J. C. Niemeyer

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

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 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 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

Based on a physical argument, we derive a new analytic formula for the amplitude of density perturbation at the threshold of primordial black hole formation in the universe dominated by a perfect fluid with the equation of state $p=w\rho…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Tomohiro Harada , Chul-Moon Yoo , Kazunori Kohri

We show that the threshold to form a black hole, in an asymptotically flat and radiation-dominated Friedman-Robertson-Walker (FRW) Universe, is not solely (mainly) determined by the behaviour of the compaction function at its extrema, as…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Cristiano Germani , Laia Montellà

In this work, we have performed numerical simulations of primordial black hole (PBH) formation in the Friedman-Lema\^itre-Robertson-Walker universe filled by radiation fluid, introducing the local-type non-Gaussianity to the primordial…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-18 Albert Escrivà , Yuichiro Tada , Shuichiro Yokoyama , Chul-Moon Yoo

We propose a geometrical origin for the Shibata-Sasaki compaction function, which is known to be a reliable indicator of primordial black hole formation at least during radiation domination. In the long-wavelength limit, we identify it with…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Tomohiro Harada , Hayami Iizuka , Yasutaka Koga , Chul-Moon Yoo

We study formation of black holes in the Friedmann universe. We present a formulation of the Einstein equations under the constant mean curvature time-slicing condition. Our formalism not only gives us the analytic solution of the…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Masaru Shibata , Misao Sasaki

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

Supersymmetric extensions of the standard model generically predict that in the early universe a scalar condensate can form and fragment into Q-balls before decaying. If the Q-balls dominate the energy density for some period of time, the…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-26 Eric Cotner , Alexander Kusenko

Primordial black holes (PBHs) can form in the early Universe via the collapse of large density perturbations. There are tight constraints on the abundance of PBHs formed due to their gravitational effects and the consequences of their…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-30 Amandeep S. Josan , Anne M. Green , Karim A. Malik

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

A common mechanism to form primordial black holes in the early universe is by enhancing at small-scales the scalar perturbations generated during inflation. If these fluctuations have a large enough amplitude, they may collapse into…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-13 A. Moradinezhad Dizgah , G. Franciolini , A. Riotto

In certain two-dimensional models, collapsing matter forms a black hole if and only if the incoming energy flux exceeds the Hawking radiation rate. Near the critical threshold, the black hole mass is given by a universal formula in terms of…

High Energy Physics - Theory · Physics 2009-09-17 A. Strominger , L. Thorlacius
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