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The Taylor expansion method has been used to investigate the scale dependence of the power spectrum of the curvature perturbation. In the present study, an alternative numerical method is used to clarify the $k$ dependence. Although there…

宇宙学与河外天体物理 · 物理学 2009-08-06 Shiro Hirai , Tomoyuki Takami

An approach to construct cosmological inflation models on the basis of a certain dependence of the scalar field evolution on the e-folds number is considered. The reconstruction of the model background parameters according to the kind of…

广义相对论与量子宇宙学 · 物理学 2025-12-23 Igor V. Fomin , Vladimir L. Glushkov , Evgenii S. Dentsel , Gevorg D. Manucharyan , Vyacheslav A. Sizov

We elucidate the counting of the relevant small parameters in inflationary perturbation theory. Doing this allows for an explicit delineation of the domain of validity of the semi-classical approximation to gravity used in the calculation…

高能物理 - 理论 · 物理学 2018-02-21 Peter Adshead , C. P. Burgess , R. Holman , Sarah Shandera

Making observable predictions for cosmic inflation requires determining when the wavenumbers of astrophysical interest today exited the Hubble radius during the inflationary epoch. These instants are commonly evaluated using the slow-roll…

宇宙学与河外天体物理 · 物理学 2024-10-17 Pierre Auclair , Baptiste Blachier , Christophe Ringeval

We show that a corpuscular description of gravity can lead to an inflationary scenario similar to Starobinsky's model without requiring the introduction of the inflaton field. All relevant properties are determined by the number of…

广义相对论与量子宇宙学 · 物理学 2018-10-30 Roberto Casadio , Andrea Giugno , Andrea Giusti

In the context of scalar-tensor theories of gravity we compute the third-order corrected spectral indices in the slow-roll approximation. The calculation is carried out by employing the Green's function method for scalar and tensor…

广义相对论与量子宇宙学 · 物理学 2017-09-27 Alexandros Karam , Thomas Pappas , Kyriakos Tamvakis

The spectral index is studied at the point where scalar fields deviate from slow-roll during inflation. Considering the deviation that may cause a significant difference to the time derivative of the Hubble parameter and also to the terms…

高能物理 - 唯象学 · 物理学 2010-04-21 Tomohiro Matsuda

The Starobinsky model predicts a primordial inflation period without the presence of an inflaton field. The modified version of this model predicts a simple time dependence for the Hubble parameter $H(t)$, which decreases slowly between the…

天体物理学 · 物理学 2015-06-24 Reuven Opher , Ana Pelinson

Inflation in cosmology is a specific stage preceding the Big Bang, aimed at solving both old background problems and new perturbation issues. Single-field inflation is a candidate to illustrate the picture of the initial universe, and…

宇宙学与河外天体物理 · 物理学 2025-05-21 Guanqiao Liu

We study adiabatic and isocurvature perturbation spectra produced by a period of cosmological inflation driven by two scalar fields. We show that there exists a model-independent consistency condition for all two-field models of slow-roll…

天体物理学 · 物理学 2009-11-07 David Wands , Nicola Bartolo , Sabino Matarrese , Antonio Riotto

We study how the noncommutative spacetime affects on inflation. First we obtain the noncommutative power spectrum of the curvature perturbations produced during inflation in the slow-roll approximation. This is the explicit $k$-dependent…

高能物理 - 理论 · 物理学 2009-11-10 Hungsoo Kim , Gil Sang Lee , Yun Soo Myung

Potential slow-roll parameters are widely used in inflationary cosmology to estimate the scalar and tensor perturbation amplitudes and the scalar spectral index, although the inflationary observables are fundamentally expressed in terms of…

广义相对论与量子宇宙学 · 物理学 2026-05-19 Jose Mathew

Accurate estimation of cosmological parameters from microwave background anisotropies requires high-accuracy understanding of the cosmological model. Normally, a power-law spectrum of density perturbations is assumed, in which case the…

天体物理学 · 物理学 2009-10-30 Edmund J Copeland , Ian J Grivell , Andrew R Liddle

We calculate power spectra of cosmological perturbations at high accuracy for two classes of inflation models. We classify the models according to the behaviour of the Hubble distance during inflation. Our approximation works if the Hubble…

天体物理学 · 物理学 2009-11-06 Dominik J. Schwarz , Cesar A. Terrero-Escalante , Alberto A. Garcia

We investigate the cosmic inflation within a class of the scalar-tensor model with the scalar-dependent non-minimal kinetic couplings. The inflationary dynamical potential will be applied. Using the slow-roll approximation, we compute…

广义相对论与量子宇宙学 · 物理学 2025-12-01 Feyzollah Younesizadeh , Davoud Kamani

We extend the WKB method for the computation of cosmological perturbations during inflation beyond leading order and provide the power spectra of scalar and tensor perturbations to second order in the slow-roll parameters. Our method does…

广义相对论与量子宇宙学 · 物理学 2009-11-11 R. Casadio , F. Finelli , M. Luzzi , G. Venturi

We have carried out detailed $k$-mode analysis of single-inflaton slow-roll inflationary perturbations including quantum fluctuations by setting up non-linear coupled differential equations of inflaton field ($\phi$), its perturbation…

广义相对论与量子宇宙学 · 物理学 2020-12-25 Arunoday Sarkar , Chitrak Sarkar , Buddhadeb Ghosh

We consider cosmological perturbations caused by modulated inflaton velocity. During inflation, the inflaton motion is damped and the velocity is determined by the parameters such as couplings or masses that may depend on light…

高能物理 - 唯象学 · 物理学 2009-02-02 Tomohiro Matsuda

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…

天体物理学 · 物理学 2009-11-11 Christian T. Byrnes , David Wands

The observational constraints on the primordial power spectrum have tightened considerably with the release of the first year analysis of the WMAP observations, especially when combined with the results from other CMB experiments and galaxy…

高能物理 - 唯象学 · 物理学 2009-11-10 Dominik J. Schwarz , Cesar A. Terrero-Escalante
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