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Related papers: A novel formulation of the PBH mass function

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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) 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 advent of gravitational wave astronomy has rekindled interest in primordial black holes (PBH) as a dark matter candidate. As there are many different observational probes of the PBH density across different masses, constraints on PBH…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-05 Benjamin V. Lehmann , Stefano Profumo , Jackson Yant

It has normally been assumed that primordial black holes (PBHs) always form with mass approximately equal to the mass contained within the horizon at that time. Recent work studying the application of critical phenomena in gravitational…

Astrophysics · Physics 2016-08-25 Anne M Green , Andrew R Liddle

We present a modification of the Press-Schechter (PS) formalism to derive general mass functions for primordial black holes (PBHs), considering their formation as being associated to the amplitude of linear energy density fluctuations. To…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-08 Joaquin Sureda , Juan Magana , Ignacio J. Araya , Nelson D. Padilla

The recent discovery of critical phenomena arising in gravitational collapse near the threshold of black hole formation is used to estimate the initial mass function of primordial black holes (PBHs). It is argued that the universal scaling…

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

The computation of PBH (primordial black hole) production from primordial perturbations has recently been improved by considering a more accurate relation between the primordial power spectrum and the PBH mass variance. We present here…

Astrophysics · Physics 2009-11-07 David Blais , Claus Kiefer , David Polarski

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

In this work, we explore the production of primordial black holes (PBHs) within the context of $\alpha$-attractor inflationary models, focusing on the preheating phase following inflation. During this phase, self-resonance instabilities…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-26 Daniel del-Corral , Paolo Gondolo , K. Sravan Kumar , João Marto

An accurate calculation of their abundance is crucial for numerous aspects of cosmology related to primordial black holes (PBHs). For example, placing constraints on the primordial power spectrum from constraints on the abundance of PBHs…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-03 Sam Young

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

We study the mass function of primordial black holes (PBHs) within the excursion-set theory, in which the response of the stochastic density contrast to the variation of the coarse-graining scale is described by colored noises. For several…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-22 Hayami Iizuka , Daiki Saito , Koki Tokeshi

We introduce a modification of the Press-Schechter formalism aimed to derive general mass functions for primordial black holes (PBHs). In this case, we start from primordial power spectra (PPS) which include a monochromatic spike, typical…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-08 Juan Magaña , Marco San Martín , Joaquín Sureda , Marcelo E. Rubio , Ignacio J. Araya , Nelson D. Padilla

We explore the role of non-Gaussian fluctuations in primordial black hole (PBH) formation and show that the standard Gaussian assumption, used in all PBH formation papers to date, is not justified. Since large spikes in power are usually…

Astrophysics · Physics 2016-08-24 James S. Bullock , Joel R. Primack

The abundance and mass function of primordial black holes (PBHs) are often estimated using the Press-Schechter (PS) formalism. In the case of halo formation, the PS formalism suffers from the miscounting of regions collapsing into halos,…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-09 Ashu Kushwaha , Teruaki Suyama

The formula for the initial mass spectrum of primordial black holes (PBHs), which can be used for a general case of the scale dependent spectral index, and for a wide class of models of the gravitational collapse, is derived. The derivation…

Astrophysics · Physics 2009-11-07 E. V. Bugaev , K. V. Konishchev

We revisit the cosmological and astrophysical constraints on the fraction of the dark matter in primordial black holes (PBHs) with an extended mass function. We consider a variety of mass functions, all of which are described by three…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-11 Bernard Carr , Martti Raidal , Tommi Tenkanen , Ville Vaskonen , Hardi Veermäe

We study the formation of primordial black holes (PBHs) in the early Universe during a period of slow reheating after inflation. We demonstrate how the PBH formation mechanism may change even before the end of the matter-dominated phase and…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Bernard Carr , Konstantinos Dimopoulos , Charlotte Owen , Tommi Tenkanen

We study the formation of primordial black holes (PBH) with ultra-slow-roll inflation when stochastic effects are important. We use the $\Delta N$ formalism and simplify the stochastic equations with an analytical constant-roll…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-19 Sami Raatikainen , Syksy Rasanen , Eemeli Tomberg

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
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