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Precise understanding of nonlinear evolution of cosmological perturbations during inflation is necessary for the correct interpretation of measurements of non-Gaussian correlations in the cosmic microwave background and the large-scale…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Naonori S. Sugiyama , Eiichiro Komatsu , Toshifumi Futamase

Using the \delta N formalism we consider the non-linear curvature perturbation in multi-field models of inflation with non-minimal coupling. In particular, we focus on the relation between the \delta N formalism as applied in the…

宇宙学与河外天体物理 · 物理学 2013-09-25 Jonathan White , Masato Minamitsuji , Misao Sasaki

The $\Delta N$ formalism, based on the counting of the number of e-folds during inflation in different local patches of the Universe, has been introduced several years ago as a simple and physically intuitive approach to calculate…

广义相对论与量子宇宙学 · 物理学 2019-04-17 Sabino Matarrese , Luigi Pilo , Rocco Rollo

The $\delta N$ formalism is a powerful approach to compute non-linearly the large-scale evolution of the comoving curvature perturbation $\zeta$. It assumes a set of FLRW patches that evolve independently, but in doing so, all the gradient…

宇宙学与河外天体物理 · 物理学 2025-06-05 Danilo Artigas , Shi Pi , Takahiro Tanaka

We carefully study the implications of adiabaticity for the behavior of cosmological perturbations. There are essentially three similar but different definitions of non-adiabaticity: one is appropriate for a thermodynamic fluid $\delta…

广义相对论与量子宇宙学 · 物理学 2016-07-29 Antonio Enea Romano , Sander Mooij , Misao Sasaki

We show that the field equations for cosmological perturbations in Newtonian gauge always have an adiabatic solution, for which a quantity ${\cal R}$ is non-zero and constant in all eras in the limit of large wavelength, so that it can be…

天体物理学 · 物理学 2009-11-07 Steven Weinberg

The delta-N formalism is considered to calculate the evolution of the curvature perturbation in generalized multi-field inflation models. The result is consistent with the usual calculation of the standard kinetic term. For the calculation…

高能物理 - 理论 · 物理学 2009-11-23 Tomohiro Matsuda

We define fully non-perturbative generalizations of the uniform density and comoving curvature perturbations, which are known, in the linear theory, to be conserved on sufficiently large scales for adiabatic perturbations. Our non-linear…

天体物理学 · 物理学 2009-11-10 David Langlois , Filippo Vernizzi

We give a detailed and improved presentation of our recently proposed formalism for non-linear perturbations in cosmology, based on a covariant and fully non-perturbative approach. We work, in particular, with a covector combining the…

天体物理学 · 物理学 2009-11-13 David Langlois , Filippo Vernizzi

We extend the formalism to calculate non-Gaussianity of primordial curvature perturbations produced by preheating in the presence of a light scalar field. The calculation is carried out in the separate universe approximation using the…

宇宙学与河外天体物理 · 物理学 2024-05-31 Pulkit S. Ghoderao , Arttu Rajantie

We study the evolution of the metric perturbations in a Bianchi background in the long-wavelength limit. By applying the gradient expansion to the equations of motion we exhibit a generalized "Separate Universe" approach to the cosmological…

广义相对论与量子宇宙学 · 物理学 2018-03-13 Alireza Talebian-Ashkezari , Nahid Ahmadi , Ali Akbar Abolhasani

The celebrated Weinberg theorem in cosmological perturbation theory states that there always exist two adiabatic scalar modes in which the comoving curvature perturbation is conserved on super-horizon scales. In particular, when the…

高能物理 - 理论 · 物理学 2015-12-23 Mohammad Akhshik , Hassan Firouzjahi , Sadra Jazayeri

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…

天体物理学 · 物理学 2007-05-23 Karim A. Malik

We consider models of inflation that contain a transient non-slow-roll stage and investigate the conditions under which a dip appears in the power spectrum of the curvature perturbation. Using the $\delta N$ formalism, we derive a general…

宇宙学与河外天体物理 · 物理学 2025-09-19 Tomohiro Fujita , Ryodai Kawaguchi , Misao Sasaki , Yuichiro Tada

Adiabatic modes are cosmological perturbations that are locally indistinguishable from a (large) change of coordinates. At the classical level, they provide model independent solutions. At the quantum level, they lead to soft theorems for…

宇宙学与河外天体物理 · 物理学 2019-01-29 Enrico Pajer , Sadra Jazayeri

We remark on the existence of non-linearly realized conformal symmetries for scalar adiabatic perturbations in cosmology. These conformal symmetries are present for any cosmological background, beyond any slow-roll or quasi-de Sitter…

高能物理 - 理论 · 物理学 2012-08-21 Kurt Hinterbichler , Lam Hui , Justin Khoury

We study the second-order gauge-invariant adiabatic and isocurvature perturbations in terms of the scalar fields present during inflation, along with the related fully non-linear space gradient of these quantities. We discuss the relation…

宇宙学与河外天体物理 · 物理学 2012-11-01 Eleftheria Tzavara , Bartjan van Tent

We present a covariant formalism for studying nonlinear perturbations of scalar fields. In particular, we consider the case of two scalar fields and introduce the notion of adiabatic and isocurvature covectors. We obtain differential…

天体物理学 · 物理学 2010-10-27 David Langlois , Filippo Vernizzi

We consider perturbations in the isotropic and homogeneous cosmological model with the spatially flat Friedmann-Lemaitre-Robertson-Walker metric in the framework of the theory of gravity with non-minimal derivative coupling. The Lagrangian…

广义相对论与量子宇宙学 · 物理学 2026-05-14 R. I. Kamalitdinov , S. V. Sushkov

We revisit the question of how to calculate correlations of the curvature perturbation, $\zeta$, using the $\delta N$ formalism when one cannot employ a truncated Taylor expansion of $N$. This problem arises when one uses lattice…

宇宙学与河外天体物理 · 物理学 2018-08-28 Shailee V. Imrith , David J. Mulryne , Arttu Rajantie
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