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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

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

It is believed that primordial black holes (PBHs), if they exist, can serve as a powerful tool to probe the early stage of the cosmic history. Essentially, in the radiation dominated universe, PBHs could form by the gravitational collapse…

General Relativity and Quantum Cosmology · Physics 2021-02-11 Che-Yu Chen

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

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

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

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 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

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

The production rate of primordial black holes is often calculated by considering a nearly Gaussian distribution of cosmological perturbations, and assuming that black holes will form in regions where the amplitude of such perturbations…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-19 Chul-Moon Yoo , Tomohiro Harada , Jaume Garriga , Kazunori Kohri

We present a complete analytic and semi-analytic study of gravitational collapse and primordial black hole (PBH) formation in the quadratic $f(R)$ model $f(R)=R+\alpha R^2$. We first derive the perturbative expansion around General…

General Relativity and Quantum Cosmology · Physics 2026-01-07 G. G. L. Nashed

We study the formation of primordial black holes (PBHs) in strongly supercooled first-order phase transitions. The mechanism is based on the presence of remnants dominated by the false vacuum that scale slower with the expansion of the…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-20 Marek Lewicki , Piotr Toczek , Ville Vaskonen

We perform fully nonlinear, spherically symmetric numerical simulations of superhorizon false-vacuum-domain (FVD) collapse in a coupled gravity-scalar-fluid system to study primordial black hole (PBH) formation during delayed first-order…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Zhuan Ning , Xiang-Xi Zeng , Rong-Gen Cai , Shao-Jiang Wang

The formation and abundance of primordial black holes (PBHs) arising from the curvature perturbation $\zeta$ is studied. The non-linear relation between $\zeta$ and the density contrast $\delta$ means that, even when $\zeta$ has an exactly…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-15 Sam Young , Ilia Musco , Christian T. Byrnes

Strongly supercooled first-order phase transitions have been proposed as a primordial black hole (PBH) production mechanism. While previous works rely on simplified models with limited thermodynamic precision, we stress that reliable…

High Energy Physics - Phenomenology · Physics 2026-05-25 Maciej Kierkla , Nicklas Ramberg , Philipp Schicho , Daniel Schmitt

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

Pulsar timing array (PTA) data releases showed strong evidence for a stochastic gravitational-wave background in the nanohertz band. When the signal is interpreted by a scenario of scalar-induced gravitational waves (SIGWs), we encounter…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-30 Qing-Hua Zhu , Zhi-Chao Zhao , Sai Wang , Xin Zhang

It has recently been suggested that cosmologically significant numbers of black holes could form during a first-order QCD phase transition. Further, it has been asserted that these black holes would have masses corresponding naturally to…

Astrophysics · Physics 2007-05-23 Christian Y. Cardall , George M. Fuller

This work investigates the formation of primordial black holes within a radiation fluid with an anisotropic pressure. We focus our attention on the initial conditions describing cosmological perturbations in the super horizon regime, using…

General Relativity and Quantum Cosmology · Physics 2022-10-25 Ilia Musco , Theodoros Papanikolaou

We consider the formation of horizon-size primordial black holes (PBH's) from pre-existing density fluctuations during cosmic phase transitions. It is pointed out that the formation of PBH's should be particularly efficient during the QCD…

Astrophysics · Physics 2010-01-06 K. Jedamzik
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