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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

We estimate the maximum allowed amplitude for the power spectrum of the primordial curvature perturbations, ${\cal P_R}(k)$, on all scales from the absence of any detection signals of sub-solar mass black holes. In particular we analyze the…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-13 Ioannis Dalianis

We perform the numerical simulation of primordial black hole formation from a nonspherical profile of the initial curvature perturbation $\zeta$. We consider the background expanding universe filled with the perfect fluid with the linear…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Chul-Moon Yoo

Carr and Hawking showed that the proper size of a spherical overdense region surrounded by a flat FRW universe cannot be arbitrarily large as otherwise the region would close up on itself and become a separate universe. From this result…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-04 Michael Kopp , Stefan Hofmann , Jochen Weller

Primordial black holes (PBHs) could be formed if large perturbations are generated on small scales in inflation. We study a toy inflation model with a local minimum. The curvature perturbations are enhanced when the inflaton passes through…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-01 Bao-Min Gu , Fu-Wen Shu , Ke Yang , Yu-Peng Zhang

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 perform a study to obtain the initial spin or the nondimensional Kerr parameter $a_{*}$ of primordial black holes (PBHs) created during the radiation dominated phase of the universe from not only nearly monochromatic but also broad…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Indra Kumar Banerjee , Tomohiro Harada

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 argue that the existence of the cold dark matter is explained by primordial black holes.We show that a significant number of primordial black holes can be formed in an axion-like curvaton model, in which the highly blue-tilted power…

High Energy Physics - Phenomenology · Physics 2013-03-22 Masahiro Kawasaki , Naoya Kitajima , Tsutomu T. Yanagida

The formation of primordial black holes is studied using superconformal inflationary $\alpha$-attractors. An inflaton potential is constructed with a plateau-like region which brings about the onset of an ultra slow-roll region where the…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-05 Rafid Mahbub

Primordial black holes could have been formed in the early universe from sufficiently large cosmological perturbations re-entering the horizon when the Universe is still radiation dominated. These originate from the spectrum of curvature…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-24 Alex Kehagias , Ilia Musco , Antonio Riotto

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

This work investigates the formation of primordial black holes within a radiation fluid with an anisotropic pressure. We focus our attention on the initial conditions describing cosmological perturbations in the super horizon regime, using…

General Relativity and Quantum Cosmology · Physics 2022-10-25 Ilia Musco , Theodoros Papanikolaou

We review the formalism of primordial black holes (PBHs) production and show that the mass variance at horizon crossing has been systematically overestimated in previous studies. We derive the correct expression. The difference is maximal…

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

We provide a (simplified) quantum description of primordial black holes at the time of their formation. Specifically, we employ the horizon quantum mechanics to compute the probability of black hole formation starting from a simple quantum…

General Relativity and Quantum Cosmology · Physics 2019-09-04 R. Casadio , A. Giugno , A. Giusti , M. Lenzi

We argue that primordial black-hole formation must be described by means of extreme-value theory. This is a consequence of the large values of the energy density required to initiate the collapse of black holes in the early Universe and the…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-28 Florian Kuhnel , Dominik J. Schwarz

In this paper, the criterion used to determine whether a density perturbation will collapse to form a primordial black hole (PBH) is re-examined, in respect of its use to determine the abundance of PBHs. There is particular focus on which…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-18 Sam Young

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) may be part of the dark matter. It is shown here that PBHs form more easily during cosmic phase transitions. For approximately scale-invariant primordial curvature fluctuations the PBH mass function may…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-18 Karsten Jedamzik

Applying the first and generalised second laws of thermodynamics for a realistic process of near critical black hole formation, we derive an entropy bound, which is identical to Bekenstein's one for radiation. Relying upon this bound, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tomohiro Harada