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I examine the standard formalism of calculating curvature perturbations in inflation at horizon crossing, and derive a general relation which must be satisfied for the horizon crossing formalism to be valid. This relation is satisfied for…

General Relativity and Quantum Cosmology · Physics 2009-11-11 William H. Kinney

Making use of the primordially isocurvature fluctuations, which are generated in inflationary models with multiple scalar fields, we make a phenomenological model that predicts formation of primordial black holes which can account for the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jun'ichi Yokoyama

The running-mass inflation model, which has strong motivation from particle physics, predicts density perturbations whose spectral index is strongly scale-dependent. For a large part of parameter space the spectrum rises sharply to short…

Astrophysics · Physics 2009-10-31 Samuel M Leach , Ian J Grivell , Andrew R Liddle

In this work, we investigate the generation of primordial black holes (PBHs) within the framework of single-field inflationary models and their compatibility with the cosmological history of the Universe. Our results suggest that, depending…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-30 Sasha Allegrini , Loris Del Grosso , Antonio J. Iovino , Alfredo Urbano

In addition to generating the appropriate perturbation power spectrum, an inflationary scenario must take into account the need for inflation to end subsequently. In the context of single-field inflation models where inflation ends by…

Astrophysics · Physics 2009-11-10 Michaël Malquarti , Samuel M. Leach , Andrew R. Liddle

We study the generation of a large power spectrum, necessary for primordial black hole formation, within the effective theory of single-field inflation. The mechanisms we consider include a transition into a ghost-inflation-like phase and…

High Energy Physics - Theory · Physics 2022-02-02 Guillermo Ballesteros , Sebastián Céspedes , Luca Santoni

Primordial black holes (PBH) have been shown to arise from high peaks in the matter power spectra of multi-field models of inflation. Here we show, with a simple toy model, that it is also possible to generate a peak in the curvature power…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-01 Juan Garcia-Bellido , Ester Ruiz Morales

We take a pragmatic, model independent approach to single field slow-roll inflation by imposing conditions to the slow-roll parameter $\epsilon$ and its derivative $\epsilon^{\prime }.$ To accommodate the recent (large) values of $r$…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-26 Gabriel German

A broad range of single field models of inflation are analyzed in light of all relevant recent cosmological data, checking whether they can lead to the formation of long-lived Primordial Black Holes (PBHs). To that end we calculate the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Manuel Drees , Encieh Erfani

There is a duality in the observables $n_s$, $r$ and the inflaton potential between large and small $\eta_H$ for the constant-roll inflation if the slow-roll parameter $\epsilon_H$ is negligible. In general, the duality between $\eta_H$ and…

General Relativity and Quantum Cosmology · Physics 2024-04-30 Yue Wang , Qing Gao , Shengqing Gao , Yungui Gong

We examine single-field inflationary models for the formation of primordial black holes (PBHs). By analyzing the latest observations from the Atacama Cosmology Telescope (ACT)~\cite{ACT:2025fju, ACT:2025tim}, we demonstrate that the…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-24 Sasha Allegrini , Antonio J. Iovino , Hardi Veermäe

We discuss the possibility of producing a significant fraction of dark matter in the form of primordial black holes in the context of the pre-big bang inflationary scenario. We take into account, to this purpose, the enhancement of…

General Relativity and Quantum Cosmology · Physics 2020-08-19 P. Conzinu , M. Gasperini , G. Marozzi

We present a single-field string inflationary model which allows for the generation of primordial black holes in the low mass region where they can account for a significant fraction of the dark matter abundance. The potential is typical of…

High Energy Physics - Theory · Physics 2018-07-04 Michele Cicoli , Victor A. Diaz , Francisco G. Pedro

We show a text-book potential for single-field inflation, namely, the Coleman-Weinberg model can induce double inflation and formation of primordial black holes (PBHs), because fluctuations that leave the horizon near the end of first…

Astrophysics · Physics 2009-06-23 Ryo Saito , Jun'ichi Yokoyama , Ryo Nagata

We revisit inflation coupled with vector fields employing kinetic coupling in the comoving gauge. It is known that there is a cumulative effect $IN^2$ on the curvature power spectrum. For a large number of e-foldings $N$, this contribution…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-02 Chong-Bin Chen

In view of cosmological parameters being measured to ever higher precision, theoretical predictions must also be computed to an equally high level of precision. In this work we investigate the impact on such predictions of relaxing some of…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-23 Mindaugas Karčiauskas , Kazunori Kohri , Taro Mori , Jonathan White

We propose an inflation scenario with three independent stages of cold, warm and thermal inflation, respectively, driven by different scalar fields, motivated by the large number of such fields predicted in most extensions of the Standard…

High Energy Physics - Phenomenology · Physics 2024-10-16 Paulo B. Ferraz , João G. Rosa

In the context of transient constant-roll inflation near a local maximum, we derive the non-perturbative field redefinition that relates a Gaussian random field with the true non-Gaussian curvature perturbation. Our analysis shows the…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-09 Vicente Atal , Jaume Garriga , Airam Marcos-Caballero

The primordial black hole (PBH) productions from the inflationary potential with an inflection point usually rely heavily on the fine-tuning of the model parameters. We propose in this work a new kind of the $\alpha$-attractor inflation…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Chengjie Fu , Shao-Jiang Wang

Stochastic effects in generic scenarios of inflation with multiple fields are investigated. First passage time techniques are employed to calculate the statistical moments of the number of inflationary $e$-folds, which give rise to all…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-25 Vincent Vennin , Hooshyar Assadullahi , Hassan Firouzjahi , Mahdiyar Noorbala , David Wands