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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

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

Computations of the primordial black hole (PBH) mass function discussed in the literature have conceptual issues. They stem from that the mass function is a differential quantity and the standard criterion of the PBH formation from the seed…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-11 Teruaki Suyama , Shuichiro Yokoyama

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

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

It has long been suggested that a fraction of the dark matter in the Universe could exist in the form of primordial black holes (PBHs) that have existed since the radiation dominated era. Recent studies have suggested that these PBHs may be…

Astrophysics of Galaxies · Physics 2025-09-03 Lewis R. Prole , John A. Regan , Daxal Mehta , Peter Coles , Pratika Dayal

When large overdensities gravitationally collapse in the early universe, they lead to primordial black holes (PBH). Depending on the exact model of inflation leading to necessary large perturbations at scales much smaller than scales probed…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-27 Sukannya Bhattacharya

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

In a class of single field models of inflation, the idea of Primordial Black holes(PBHs) production is studied. In this case, the dynamics on small cosmological scales differs significantly from that of the large scales probed by the…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-19 Mayukh R. Gangopadhyay , Jayesh C. Jain , Devanshu Sharma , Yogesh

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

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

Formation of primordial black holes (PBHs) on astrophysical mass scales is a natural consequence of inflationary cosmology if the primordial perturbation spectrum has a large and negative running of the spectral index as observationally…

This Letter explores the potential role of primordial black holes (PBHs) to address cosmological tensions as the presence of more massive than expected galaxies at high redshifts, as indicated by recent James Webb Space Telescope…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-23 P. E. Colazo , F. Stasyszyn , N. Padilla

Primordial black holes (PBHs) are a profound signature of primordial cosmological structures and provide a theoretical tool to study nontrivial physics of the early Universe. The mechanisms of PBH formation are discussed and observational…

Astrophysics · Physics 2014-11-18 M. Yu. Khlopov

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

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

Primordial black holes (PBHs) can form from gravitational collapse of large overdensities in the early Universe, giving rise to rich phenomena in astrophysics and cosmology. We develop a novel, general, and systematic method based on theory…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-09 Shi Pi , Misao Sasaki , Volodymyr Takhistov , Jianing Wang

Ultralight primordial black holes (PBHs) provide a compelling window into early-Universe cosmology. Following our earlier work, we explore a mechanism for the formation of ultralight PBHs sourced by primordial inflationary magnetic fields,…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-15 Subhasis Maiti , Debaprasad Maity

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

Recent observational constraints indicate that primordial black holes (PBHs) with the mass scale $\sim 10^{-12}M_{\odot}$ can explain most of dark matter in the Universe. To produce this kind of PBHs, we need an enhance in the primordial…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-31 Milad Solbi , Kayoomars Karami
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