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Related papers: Primordial black holes in excursion set theory: Fo…

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The excursion-set formalism enables us to infer the mass distribution of collapsed objects, such as primordial black holes (PBHs), by the language of stochastic processes. Within the framework, this article investigates how a smooth…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-27 Daiki Saito , Koki Tokeshi

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 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

In the excursion-set formalism, the mass distribution of primordial black holes (PBHs) is derived from the first-passage time of a random walk describing the density contrast as the coarse-graining scale varies. We address two recent…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-31 Pierre Auclair , Baptiste Blachier , Vincent Vennin

Primordial black holes (PBHs) can be produced by the perturbations that exit the horizon during inflationary phase. While inflation models predict the power spectrum of the perturbations in Fourier space, the PBH abundance depends on the…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-06 Kenta Ando , Keisuke Inomata , Masahiro Kawasaki

We investigate the ambiguity of the novel mass function of primordial black holes, which has succeeded in identifying the black hole mass in a given configuration of fluctuations, due to the choice of window function of smoothed density…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-06 Koki Tokeshi , Keisuke Inomata , Jun'ichi Yokoyama

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

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

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

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 study primordial black holes (PBHs) formation in the excursion set theory (EST) in a vast range of PBHs masses with and without confirmed constraints on their abundance. In this work, we introduce a new concept of the first touch in the…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-26 Encieh Erfani , Hamed Kameli , Shant Baghram

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

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

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

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

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

Primordial black holes (PBHs) are predicted in many models via different formation mechanisms. Identifying the origin of PBHs is of the same importance as probing their existence. We propose to probe the asteroid-mass PBHs…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-14 Ke-Pan Xie

The formation of Primordial Black Holes (PBHs) through the collapse of large fluctuations in the early universe is a rare event. This manifests itself, for instance, through the non-Gaussian tail of the formation probability. To compute…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-20 V. De Luca , A. Riotto

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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