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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

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

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

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

The study of the primordial black hole (PBH) gravitational collapse process requires the determination of a critical energy density perturbation threshold $\delta_\mathrm{c}$, which depends on the equation of state of the universe at the…

General Relativity and Quantum Cosmology · Physics 2022-08-29 Theodoros Papanikolaou

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 present a numerical investigation of the gravitational collapse of horizon-size density fluctuations to primordial black holes (PBHs) during the radiation-dominated phase of the Early Universe. The collapse dynamics of three different…

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

Determining the conditions under which a black hole can be produced is a long-standing and fundamental problem in general relativity. We use numerical simulations of colliding selfgravitating fluid objects to study the conditions of…

General Relativity and Quantum Cosmology · Physics 2012-12-13 Luciano Rezzolla , Kentaro Takami

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

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

Following on after three previous papers discussing the formation of primordial black holes during the radiative era of the early universe, we present here a further investigation of the critical nature of the process involved, aimed at…

General Relativity and Quantum Cosmology · Physics 2013-12-11 Ilia Musco , John C. Miller

Primordial Black Holes (PBHs) might have formed in the early Universe as a consequence of the collapse of density fluctuations with an amplitude above a critical value $\delta_{c}$: the formation threshold. Although for a…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-12 J. L. G. Sobrinho , P. Augusto , A. L. Gonçalves

Black hole formation may occur if the spectrum of the curvature perturbation \zeta increases strongly as the scale decreases. As no such increase is observed on cosmological scales, black hole formation requires strongly positive running n'…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kazunori Kohri , David H. Lyth , Alessandro Melchiorri

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 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

Primordial black holes form in the early Universe and constitute one of the most viable candidates for dark matter. The study of their formation process requires the determination of a critical energy density perturbation threshold…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Theodoros Papanikolaou

The gravitational collapse of a spherically symmetric star, made of a dust fluid, $\rho_{DM}$, in a background of dark energy, $p = w\rho,\; (w < -1/3)$, is studied. It is found that when only dark energy is present, black holes are {\em…

Astrophysics · Physics 2011-07-19 Rong-Gen Cai , Anzhong Wang

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 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

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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