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This brief note presents standard computations of primordial black hole mass $M$ given perturbations of scale $k$, and their late-time abundance $\Omega_\text{PBH}$ given their initial density fraction $\beta$. I recap the assumptions made…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-20 Eemeli Tomberg

We consider a mechanism for producing a significant population of primordial black holes (PBHs) and an observable stochastic gravitational wave background (SGWB) within string theory inspired models of inflation. In this framework where…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Ogan Özsoy , Zygmunt Lalak

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 formation of primordial black holes in the early universe may happen through the collapse of large curvature perturbations generated during a non-attractor phase of inflation or through a curvaton-like dynamics after inflation. The fact…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-07 Gabriele Franciolini , Andrea Ianniccari , Alex Kehagias , Davide Perrone , Antonio Riotto

We investigate the production of primordial black holes (PBHs) and scalar-induced gravitational waves (GWs) for cosmological models in the Horndeski theory of gravity. The cosmological models of our interest incorporate the derivative…

General Relativity and Quantum Cosmology · Physics 2021-07-20 Pisin Chen , Seoktae Koh , Gansukh Tumurtushaa

Primordial black holes (PBHs) are theoretical black holes which may be formed during the radiation dominant era and, basically, caused by the gravitational collapse of radiational overdensities. It has been well known that in the context of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-26 Yuichiro Tada , Shuichiro 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

We calculate the mass distribution of Primordial Black Holes (PBHs) produced during metric preheating. After inflation, the oscillations of the inflaton at the bottom of its potential source a parametric resonant instability for small-scale…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-24 Pierre Auclair , Vincent Vennin

Various mechanisms have been suggested for the formation of Primordial Black Holes (PBHs), and this thesis focuses on the standard mechanism based on the critical collapse of cosmological fluctuations. The underlying idea is that during…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-07 Antonio Junior Iovino

We investigate a possibility of primordial black hole (PBH) formation with a hierarchical mass spectrum in multiple phases of inflation. As an example, we find that one can simultaneously realize a mass spectrum which has recently attracted…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-13 Yuichiro Tada , Shuichiro Yokoyama

We study realistic models predicting primordial black hole (PBH) formation from density fluctuations generated in a first-order phase transition. We show that the second-order correction in the expansion of the bubble nucleation rate is…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-27 Marek Lewicki , Piotr Toczek , Ville Vaskonen

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 investigate the possibility that primordial black holes (PBHs) can be formed from large curvature perturbations generated during the waterfall phase transition in a hybrid inflation model driven by an axion-like particle (ALP) $\phi$.…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-08 Waqas Ahmed , Anish Ghoshal , Umer Zubair

We revise primordial black holes (PBHs) production in the axion-curvaton model, in light of recent developments in the computation of their abundance accounting for non-gaussianities (NGs) in the curvature perturbation up to all orders. We…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-28 Giacomo Ferrante , Gabriele Franciolini , Antonio Junior Iovino , Alfredo Urbano

Primordial Black Holes (PBHs) have entered the forefront of theoretical cosmology, due their potential role in phenomena ranging from gravitational waves, to dark matter, to galaxy formation. While producing PBHs from inflationary…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-12 Keisuke Inomata , Evan McDonough , Wayne Hu

We present a novel model-independent generic mechanism for primordial black hole formation within the context of non-singular matter bouncing cosmology. In particular, considering a short duration transition from the matter contracting…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Theodoros Papanikolaou , Shreya Banerjee , Yi-Fu Cai , Salvatore Capozziello , Emmanuel N. Saridakis

We modify the procedure to estimate PBH abundance proposed in arXiv:1805.03946 so that it can be applied to a broad power spectrum such as the scale-invariant flat power spectrum. In the new procedure, we focus on peaks of the Laplacian of…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-19 Chul-Moon Yoo , Tomohiro Harada , Shin'ichi Hirano , Kazunori Kohri

We compare primordial black hole (PBH) constraints on the power spectrum and mass distributions using the traditional Press Schechter formalism, peaks theory, and a recently developed version of peaks theory relevant to PBHs. We show that,…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-09 Andrew D. Gow , Christian T. Byrnes , Philippa S. Cole , Sam Young

We present pbhstat, a publicly available Python package designed to compute the mass function and total abundance of primordial black holes (PBHs) from a given primordial power spectrum. The package offers a modular framework using multiple…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-19 Philippa S. Cole , Jacopo Fumagalli

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