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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

This work is part of an ongoing research programme to study possible Primordial Black Hole (PBH) formation during the radiation dominated era of the early universe. Working within spherical symmetry, we specify an initial configuration in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alexander G. Polnarev , Ilia Musco , .

Sufficiently large scalar perturbations in the early Universe can create over-dense regions that collapse into primordial black holes (PBH). This process is accompanied by the emission of scalar-induced gravitational waves (SIGW) that…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-06 Junsong Cang , Yin-Zhe Ma , Yu Gao

In the model where Primordial Black Holes (PBHs) form from large primordial curvature (C) perturbations, i.e., CPBHs, constraints on PBH abundance provide in principle constraints on the primordial curvature power spectrum. This connection…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-15 Alba Kalaja , Nicola Bellomo , Nicola Bartolo , Daniele Bertacca , Sabino Matarrese , Ilia Musco , Alvise Raccanelli , Licia Verde

We reinspect the calculation for the mass fraction of primordial black holes (PBHs) which are formed from primordial perturbations, finding that performing the calculation using the comoving curvature perturbation $\mathcal{R}_{c}$ in the…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Sam Young , Christian T. Byrnes , Misao Sasaki

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 primordial black hole (PBH) formation in a minimally coupled $f(T)$ teleparallel cosmology that generates a transient departure from standard radiation domination. The model is constructed so that modified-gravity effects are…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Gerasimos Kouniatalis , Theodoros Papanikolaou , Spyros Basilakos , Emmanuel N. Saridakis

General expressions are given for the generation of Primordial Black Holes (PBH) in a universe with a presently accelerated expansion due to a(n effective) cosmological constant. We give expressions both for a powerlaw scalefree primordial…

Astrophysics · Physics 2009-11-07 David Polarski

A universal mechanism may be responsible for several unresolved cosmic conundra. The sudden drop in the pressure of relativistic matter at $W^{\pm}/Z^{0}$ decoupling, the quark--hadron transition and $e^{+}e^{-}$ annihilation enhances the…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-16 Bernard Carr , Sebastien Clesse , Juan Garcia-Bellido , Florian Kuhnel

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

Cosmological observations, e.g., cosmic microwave background, have precisely measured the spectrum of primordial curvature perturbation on larger scales, but smaller scales are still poorly constrained. Since primordial black holes (PBHs)…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-25 Huan Zhou , Zhengxiang Li , Zong-Hong Zhu

We construct exact initial data for closed cosmological models filled with regularly arranged black holes in the presence of $\Lambda$. The intrinsic geometry of the 3-dimensional space described by this data is a sum of simple closed-form…

General Relativity and Quantum Cosmology · Physics 2017-03-15 Jessie Durk , Timothy Clifton

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

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

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

We present a numerical investigation of primordial black hole (PBH) formation from super-horizon curvature perturbations and the subsequent generation and propagation of sound waves, which can serve as a new source of stochastic…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Zhuan Ning , Xiang-Xi Zeng , Zi-Yan Yuwen , Shao-Jiang Wang , Heling Deng , Rong-Gen Cai

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

We study the formation of primordial black holes (PBHs) and stochastic gravitational waves background (SGWB) produced by the supercooled radion phase transition (PT) in warped extra-dimension models solving the gauge hierarchy problem. We…

High Energy Physics - Phenomenology · Physics 2025-07-10 Anish Ghoshal , Eugenio Megias , Germano Nardini , Mariano Quiros

We discuss a new class of solutions to the Einstein equations which describe a primordial black hole (PBH) in a flat Friedmann background. Such solutions arise if a Schwarzschild black hole is patched onto a Friedmann background via a…

Astrophysics · Physics 2008-11-26 Tomohiro Harada , B. J. Carr

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
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