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We describe a new scenario for the formation of primordial black holes (PBHs). In the early Universe, the long-range forces mediated by the scalar fields can lead to formation of halos of heavy particles even during the radiation-dominated…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-28 Marcos M. Flores , Alexander Kusenko

We simulate numerically the formation of spherically symmetric primordial black holes (PBHs) seeded by different families of primordial curvature perturbations profiles on a Friedman-Robertson-Walker (FRW) Universe filled by radiation…

General Relativity and Quantum Cosmology · Physics 2021-06-01 Albert Escrivà , Antonio Enea Romano

In a Universe with nearly-Gaussian initial curvature perturbations, the abundance of primordial black holes can be derived from the curvature power spectrum. When the latter is enhanced within a narrow range around a characteristic scale,…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-25 Jacopo Fumagalli , Jaume Garriga , Cristiano Germani , Ravi K. Sheth

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 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

Primordial black holes (PBHs) can form during radiation domination from rare primordial perturbations that re-enter the Hubble radius and undergo gravitational collapse. We derive PBH mass distributions using Press--Schechter theory…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-30 Owais Farooq , Romana Zahoor , Balungi Francis

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

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

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

Primordial Black Holes (PBHs) serve as a unique probe to the physics of the early Universe, particularly inflation. In light of this, we study the formation of PBHs by the collapse of overdense perturbations generated during a model of warm…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-17 Richa Arya

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

The abundance of primordial black holes (PBHs) in the mass range $0.1 - 10^3 M_\odot$ can potentially be tested by gravitational wave observations due to the large merger rate of PBH binaries formed in the early universe. To put the…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-01 Martti Raidal , Christian Spethmann , Ville Vaskonen , Hardi Veermäe

We propose a novel mechanism where Primordial Black Hole (PBH) dark matter is formed much later in the history of the universe between the epoch of Big Bang Nucleosynthesis (BBN) and Cosmic Microwave Background (CMB) photon decoupling. In…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-24 Amlan Chakraborty , Prolay K Chanda , Kanhaiya Lal Pandey , Subinoy Das

Primordial black holes (PBHs) may have formed through the gravitational collapse of cosmological perturbations that were generated and stretched during the inflationary era, later entering the cosmological horizon during the decelerating…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Tomohiro Harada

We consider constraints on primordial black holes (PBHs) in the mass range $( 10^{-18}\text{-}10^{15} )\,M_{\odot}$ if the dark matter (DM) comprises weakly interacting massive particles (WIMPs) which form halos around them and generate…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-29 Bernard Carr , Florian Kuhnel , Luca Visinelli

Primordial black holes (PBHs) may have formed in the early Universe and may account for all or part of the dark matter. In this review, we summarize the current observational constraints on PBHs across the full mass range, highlight…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-02 Bernard Carr , Antonio J. Iovino , Gabriele Perna , Ville Vaskonen , Hardi Veermäe

If very low mass primordial black holes (PBH) within the asteroid/moon-mass range indeed reside in galactic dark matter halos, they must necessarily collide with galactic neutron stars (NSs). These collisions must, again necessarily, form…

High Energy Astrophysical Phenomena · Physics 2022-08-23 Marek Abramowicz , Michal Bejger , Andrzej Udalski , Maciek Wielgus

Primordial black holes (PBHs) can generically form in inflationary setups through the collapse of enhanced cosmological perturbations, providing us access to the early Universe through their associated observational signatures. In the…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-08 Theodoros Papanikolaou , Andreas Lymperis , Smaragda Lola , Emmanuel N. Saridakis

Primordial black holes (PBHs) constitute a compelling dark matter candidate whose gravitational effects could significantly influence early cosmic structure formation. We investigate the impact of PBHs on Population III star formation…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-08 Julia Monika Koulen , Stefano Profumo , Nolan Smyth

In this chapter we first describe the early history of primordial black hole (PBH) research. We then discuss their possible formation mechanisms, including critical collapse from inflationary fluctuations and various types of phase…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-24 Bernard Carr , Florian Kuhnel