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The curvaton and the inhomogeneous reheating scenarios for the generation of the cosmological curvature perturbation on large scales represent an alternative to the standard slow-roll scenario where the observed density perturbations are…

Astrophysics · Physics 2009-11-10 L. Pilo , A. Riotto , A. Zaffaroni

We study the curvaton scenario using gauge-invariant second order perturbation theory and solving the governing equations numerically. Focusing on large scales we calculate the non-linearity parameter f_nl in the two-fluid curvaton model…

Astrophysics · Physics 2009-11-11 Karim A. Malik , David H. Lyth

We use the \delta N formalism to study the trispectrum T_\zeta of the primordial curvature perturbation \zeta when the latter is generated by vector field perturbations, considering the tree-level and one-loop contributions. The order of…

Cosmology and Nongalactic Astrophysics · Physics 2010-02-12 Cesar A. Valenzuela-Toledo , Yeinzon Rodriguez

We study the generation of non-Gaussianity in models of hybrid inflation with two inflaton fields, (2-brid inflation). We analyse the region in the parameter and the initial condition space where a large non-Gaussianity may be generated…

Astrophysics · Physics 2010-04-30 Christian T. Byrnes , Ki-Young Choi , Lisa M. H. Hall

The abundance of primordial black holes changes in the presence of local non-Gaussianity. A positive non-linear parameter $f_{NL}$ increases the abundance while a negative one reduces it. We show that in non-attractor single-field models of…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-20 Hassan Firouzjahi , Antonio Riotto

In this paper, we will use $\delta \mathcal{N}$-formalism to calculate the primordial curvature perturbation for the curvaton model with a Lagrange multiplier field. We calculate the non-linearity parameters $f_{NL}$ and $g_{NL}$ in the…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-27 Chao-Jun Feng , Xin-Zhou Li

Preheating at the end of inflation is a violent nonlinear process that efficiently transfers the energy of the inflaton to a second field, the preheat field. When the preheat field is light during inflation and its background value…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-03 Zhiqi Huang , Xichang Ouyang , Yu Cui , Jianqi Liu , Yanhong Yao , Zehong Qiu , Guangyao Yu , Lu Huang , Zhuoyang Li , Chi-Fong Wong

We give an explicit relation, up to second-order terms, between scalar-field fluctuations defined on spatially-flat slices and the curvature perturbation on uniform-density slices. This expression is a necessary ingredient for calculating…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Mafalda Dias , Joseph Elliston , Jonathan Frazer , David Mulryne , David Seery

We present a method for constructing gauge-invariant cosmological perturbations which are gauge-invariant up to second order. As an example we give the gauge-invariant definition of the second-order curvature perturbation on uniform density…

Astrophysics · Physics 2009-11-10 Karim A Malik , David Wands

Over the last few years, it was realised that non-canonical scalar fields can lead to the accelerated expansion in the early universe. The primordial spectrum in these scenarios not only shows near scale-invariance consistent with CMB…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-05 Corrado Appignani , Roberto Casadio , S. Shankaranarayanan

We calculate curvature perturbations in the scenario in which the curvaton field decays into another scalar field via parametric resonance. As a result of a nonlinear stage at the end of the resonance, standard perturbative calculation…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-15 Alex Chambers , Sami Nurmi , Arttu Rajantie

After introducing gauge-invariant cosmological perturbation theory we give an improved set of governing equations for multiple fluids including energy transfer. Having defined adiabatic and entropic perturbations we derive the…

Astrophysics · Physics 2007-05-23 Karim A. Malik

We calculate the power spectra of primordial curvature and isocurvature perturbations from a general two field inflation model at next-to-leading order correction in a slow-roll expansion. In particular we calculate the spectral indices to…

Astrophysics · Physics 2009-11-11 Christian T. Byrnes , David Wands

Inflation can be supported in very steep potentials if it is generated by rapidly turning fields, which can be natural in negatively curved field spaces. The curvature perturbation, $\zeta$, of these models undergoes an exponential,…

High Energy Physics - Theory · Physics 2019-12-18 Theodor Bjorkmo , Ricardo Z. Ferreira , M. C. David Marsh

We investigate the formation of primordial black holes in curvaton models of inflation, where the curvature perturbation is not only generated by the inflaton but also by a light scalar field (the curvaton) that decays after inflation.…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-21 Tomotaka Kuroda , Atsushi Naruko , Vincent Vennin , Masahide Yamaguchi

In this thesis, we discuss several instances in which non-linear behaviour affects cosmological evolution in the early Universe. We begin by reviewing the standard cosmological model and the tools used to understand it theoretically and to…

General Relativity and Quantum Cosmology · Physics 2019-11-20 Pedro Carrilho

We analyze primordial non-gaussianities in presence of an ultra-slow phase during the inflationary dynamics, focusing on scenarios relevant for the production of primordial black holes. We compute the three-point correlation function of…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-25 Marco Taoso , Alfredo Urbano

Chromo-Natural Inflation is the first worked example of a model of inflation in which slow-roll inflation is achieved by "magnetic drift" as opposed to Hubble friction. In this work, we give an account of the perturbations at linear order…

High Energy Physics - Theory · Physics 2015-06-15 Peter Adshead , Emil Martinec , Mark Wyman

The non-Gaussian distribution of primordial perturbations has the potential to reveal the physical processes at work in the very early Universe. Local models provide a well-defined class of non-Gaussian distributions that arise naturally…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 David Wands

In this paper we examine how primordial non-Gaussianity contributes to nonlinear perturbative orders in the expansion of the density field at large scales in the matter dominated era. General Relativity is an intrinsically nonlinear theory,…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-27 Hedda Alice Gressel , Marco Bruni
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