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Related papers: Computing the abundance of primordial black holes

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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

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 consider the application of peaks theory to the calculation of the number density of peaks relevant for primordial black hole (PBH) formation. For PBHs, the final mass is related to the amplitude and scale of the perturbation from which…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-28 Sam Young , Marcello Musso

We discuss a novel window to probe the origin of our universe via the mass functions of primordial black holes (PBHs). The mass functions of PBHs are simply estimated using the conventional Press-Schechter formalism for two paradigms of…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-11 Yi-Fu Cai , Chengfeng Tang , Geyu Mo , Sheng-Feng Yan , Chao Chen , Xiao-Han Ma , Bo Wang , Wentao Luo , Damien Easson , Antonino Marciano

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

The formation of Primordial Black Holes (PBHs) through the collapse of large fluctuations in the early universe is a rare event. This manifests itself, for instance, through the non-Gaussian tail of the formation probability. To compute…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-20 V. De Luca , A. Riotto

We revisit the calculation of the abundance of primordial black holes (PBHs) formed from primordial density perturbations, using a formation criterion derived by Shibata and Sasaki which refers to a metric perturbation variable rather than…

Astrophysics · Physics 2009-10-09 Anne M. Green , Andrew R. Liddle , Karim A. Malik , Misao Sasaki

The primordial black hole (PBH) is an effective candidate for dark matter. In this work, the PBH abundance $f$ is calculated in peak theory, with one or two perturbations in the inflaton potential. We construct an antisymmetric perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-09 Qing Wang , Yi-Chen Liu , Bing-Yu Su , Nan Li

In this paper, the formation of primordial black holes (PBHs) is reinvestigated using inflationary $\alpha$-attractors. Instead of using the conventional Press-Schechter theory to compute the abundance, the optimized peaks theory is used,…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-11 Rafid Mahbub

We present pbhstat, a publicly available Python package designed to compute the mass function and total abundance of primordial black holes (PBHs) from a given primordial power spectrum. The package offers a modular framework using multiple…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-19 Philippa S. Cole , Jacopo Fumagalli

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 constrain the mass abundance of unclustered primordial black holes (PBHs), formed with a simple mass distribution and subject to the Hawking evaporation and particle absorption from the environment. Since the radiative flux is…

Astrophysics · Physics 2009-11-07 P. S. Custódio , J. E. Horvath

Primordial black holes (PBHs) are mainly characterized by their mass function, in which there may be some huge suppression for certain mass spans. If this is the case, the absence of these PBHs will form mass gaps. In this paper, we…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-15 Xiao-Ming Bi , Lu Chen , Ke Wang

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

This brief note presents standard computations of primordial black hole mass $M$ given perturbations of scale $k$, and their late-time abundance $\Omega_\text{PBH}$ given their initial density fraction $\beta$. I recap the assumptions made…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-20 Eemeli Tomberg

The parameters of the original log-normal mass spectrum of primordial black holes (PBH) are approximately adjusted on the basis of existing observational data on supermassive black holes in the galactic centers and the mass distribution of…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-22 A. D. Dolgov , S. Porey

Primordial black holes (PBHs) can form in the early Universe, for instance during radiation domination, from the collapse of large-amplitude density perturbations shortly after horizon re-entry. This mechanism establishes an approximate…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-25 Ashu Kushwaha , Teruaki Suyama

We investigate Primoridal Black Hole (PBH) formation by which we mean black holes produced in the early universe during radiation domination. After discussing the range of PBH mass permitted in the original mechanism of Carr and Hawking,…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Paul H. Frampton

It is argued that the bulk of black holes (BH) in the universe are primordial (PBH). This assertion is strongly supported by the recent astronomical observations, which allow to conclude that supermassive BHs with $M= (10^6 - 10^9) M_\odot$…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 A. D. Dolgov

Primordial black holes (PBH) can form in the early Universe from peaks of the primordial curvature perturbations. The statistics of the peaks determines the abundance of PBHs, and is related to the amplitude of the primordial curvature…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-09 Alexander Gallego Cadavid , Antonio Enea Romano
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