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We propose that the growth of supermassive black holes is associated mainly with brief episodes of highly super-Eddington infall of gas ("hyperaccretion"). This gas is not swallowed in real time, but forms an envelope of matter around the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Mitchell C. Begelman

The recent discovery of gravitational waves from mergers of $\sim 10 \, M_{\odot}$ black hole binaries has stimulated interested in Primordial Black Hole dark matter in this mass range. Microlensing and dynamical constraints exclude all of…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-05 Anne M. Green

The mass function of primordial black holes created through the near-critical gravitational collapse is calculated in a manner fairly independent of the statistical distribution of underlying density fluctuation, assuming that it has a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jun'ichi Yokoyama

We consider black holes which form from an initially spherically symmetric super-Hubble perturbation of a cosmological background filled by a perfect fluid $p=w \rho$ with $w\in (0,1]$. Previous work has shown that when $w = 1/3$…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Albert Escrivà , Cristiano Germani , Ravi K. Sheth

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

Primordial black holes (PBHs) are considered viable candidates for dark matter and the seeds of supermassive black holes (SMBHs), with their fruitful physical influences providing significant insights into the conditions of the early…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-30 Junyue Yang , Xiaoding Wang , Xiao-Han Ma , Dongdong Zhang , Sheng-Feng Yan , Amara Ilyas , Yi-Fu Cai

In this Letter, we present a model connecting the cosmic star formation rate (CSFR) to the growth of supermassive black holes. Considering that the evolution of the massive black hole is dominated by accretion (Soltan's argument) and that…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Eduardo S. Pereira , Oswaldo D. Miranda

In this series we construct an effective field theory (EFT) in curved spacetime to study gravitational radiation and backreaction effects. We begin in this paper with a derivation of the self-force on a compact object moving in the…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Chad R. Galley , B. L. Hu

The present-day mass function of supermassive black holes is the most important observable quantity for the prediction and theoretical interpretation of the gravitational wave background (GWB) measured by pulsar timing arrays (PTAs). Due to…

Astrophysics of Galaxies · Physics 2025-09-11 Gabriela Sato-Polito , Matias Zaldarriaga

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

Following on after three previous papers discussing the formation of primordial black holes during the radiative era of the early universe, we present here a further investigation of the critical nature of the process involved, aimed at…

General Relativity and Quantum Cosmology · Physics 2013-12-11 Ilia Musco , John C. Miller

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 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

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

We discuss the effect of local type non-Gaussianity on the abundance of primordial black holes (PBH) based on the peak theory. We provide the PBH formation criterion based on the so-called compaction function and use the peak theory…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-19 Chul-Moon Yoo , Jinn-Ouk Gong , Shuichiro Yokoyama

We provide evidence for a correspondence between the formation of black holes and the stability of circular null geodesics around the collapsing perturbation. We first show that the critical threshold of the compaction function to form a…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-29 Andrea Ianniccari , Antonio J. Iovino , Alex Kehagias , Davide Perrone , Antonio Riotto

Aspects of super-planckian gravitational scattering and black hole formation are investigated, largely via a partial-wave representation. At large and decreasing impact parameters, amplitudes are expected to be governed by single graviton…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings , Mark Srednicki

We study formation of black holes in the Friedmann universe. We present a formulation of the Einstein equations under the constant mean curvature time-slicing condition. Our formalism not only gives us the analytic solution of the…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Masaru Shibata , Misao Sasaki

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

In light of our previous work \cite{Liu:2019xhn}, we investigate the possibility of the formation of a primordial black hole in the second inflationary process induced by the oscillation of curvaton. By adopting the instability of the…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-09 Lei-Hua Liu