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Using the concept of apparent horizon for dynamical black holes, we revisit the formation of primordial black holes (PBH) in the early universe for both linear and non-linear regimes. First, we develop the perturbation theory for…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Alireza Allahyari , Javad T. Firouzjaee , Ali Akbar Abolhasani

This is a review article on the primordial black holes (PBHs), with particular focus on the massive ones ($\gtrsim 10^{15}{\rm g}$) which have not evaporated by the present epoch by the Hawking radiation. By the detections of gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-14 Misao Sasaki , Teruaki Suyama , Takahiro Tanaka , Shuichiro Yokoyama

Recently we have proposed a novel method to probe primordial gravitational waves from upper bounds on the abundance of primordial black holes (PBHs). When the amplitude of primordial tensor perturbations generated in the early Universe is…

General Relativity and Quantum Cosmology · Physics 2016-08-18 Tomohiro Nakama , Teruaki Suyama

The amplitude of the detected stochastic gravitational wave background (SGWB) measured by pulsar timing arrays (PTAs) and the discovery of early and over-massive central black holes at high redshift by the James Webb Space Telescope (JWST)…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-06 D. Martín-González

Primordial black holes (PBHs) are supposed to form from the collapse of over-densed regions generated by large scalar curvature perturbations in the radiation dominated era. Despite decades of various independent observations, the nature of…

Astrophysics of Galaxies · Physics 2021-08-31 Chen Yuan , Qing-Guo Huang

We investigate an inflationary model with a non-minimal derivative coupling, where the coupling function contains both constant and periodic components. On large scales, the model is in excellent agreement with the latest…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-10 Li-Shuai Wang , Qiong-Tao Xie , Li-Yang Chen

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

We investigate the stochastic gravitational wave background (SGWB) generated by primordial black holes (PBHs) in the dense cores of dwarf galaxies (DGs), considering both hierarchical binary black hole (BBH) mergers and close hyperbolic…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-02 Tadeo D. Gòmez-Aguilar , Encieh Erfani , N. M. Jimènez Cruz

We study the properties of the stochastic gravitational wave background (SGWB) resulting from the mergers of primordial black holes (PBH) that formed from the collapse of sub-horizon regions in the early universe. We adopt a…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-14 Stefano Profumo , Fengwei Yang

There exist two kinds of stochastic gravitational-wave backgrounds associated with the primordial curvature perturbations. One is called induced gravitational wave due to the nonlinear coupling of curvature perturbations to tensor…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-12 Lang Liu , Xing-Yu Yang , Zong-Kuan Guo , Rong-Gen Cai

For a variety of on-going and planned gravitational-wave (GW) experiments, we study expected constraints on the fraction ($f_{\rm PBH}$) of primordial black holes (PBHs) in dark matter by evaluating the energy-density spectra of two kinds…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-26 Sai Wang , Takahiro Terada , Kazunori Kohri

We use the wide-used \textsf{Einstein Toolkit} to solve the Einstein constraints and then simulate the expansion of primordial black hole lattices (PBHLs) with different value of $f_{\mathrm{PBH}}$ and $m_{\mathrm{PBH}}$. We find that…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Ke Wang

Hawking evaporation of primordial black holes (PBHs) can facilitate the generation of matter-antimatter asymmetry. We focus on ultra-low mass PBHs that briefly dominate the universe and evaporate before the big bang nucleosynthesis. We…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-26 Nilanjandev Bhaumik , Anish Ghoshal , Marek Lewicki

Primordial Black Holes (PBH) can form in the early universe and might comprise a significant fraction of the dark matter. Interestingly, they are accompanied by the generation of Gravitational Wave (GW) signals and they could contribute to…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-14 G. Franciolini

Primordial Black Holes (PBH) from peaks in the curvature power spectrum could constitute today an important fraction of the Dark Matter in the Universe. At horizon reentry, during the radiation era, order one fluctuations collapse…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-31 Sebastien Clesse , Juan García-Bellido , Stefano Orani

It was shown by (Nakamura et al. 1997), (Ioka et al. 1998), and (Sasaki et al. 2016) that primordial black holes (PBHs) binaries can form effectively at the cosmological stage of radiation dominance, and the merge of the PBHs in pairs can…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-02 Yu. N. Eroshenko

We present a scenario in which primordial black holes (PBHs) form in a post-inflationary radiation-dominated (RD) phase and then experience significant accretion during a phase of early matter dominated (EMD). We show that PBH masses could…

High Energy Physics - Phenomenology · Physics 2025-05-29 Rouzbeh Allahverdi , James B. Dent , Ngo Phuc Duc Loc , Tao Xu

Primordial black holes (PBHs) generated in the early Universe are considered as one of the candidates for dark matter. To produce PBHs with sufficient abundance, the primordial scalar power spectrum needs to be enhanced to the order of…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Zhongkai Wang , Shengqing Gao , Yungui Gong , Yue Wang

Primordial black holes (PBHs) formed in the early Universe evaporate via Hawking radiation and constitute a generic source of stochastic gravitational waves. Existing studies of gravitational wave production from evaporating PBHs typically…

High Energy Physics - Phenomenology · Physics 2026-02-18 Arnab Chaudhuri , Kousik Loho

In the model where Primordial Black Holes (PBHs) form from large primordial curvature (C) perturbations, i.e., CPBHs, constraints on PBH abundance provide in principle constraints on the primordial curvature power spectrum. This connection…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-15 Alba Kalaja , Nicola Bellomo , Nicola Bartolo , Daniele Bertacca , Sabino Matarrese , Ilia Musco , Alvise Raccanelli , Licia Verde