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In the context of single-field inflation, the conservation of the curvature perturbation on comoving slices, $\R_c$, on super-horizon scales is one of the assumptions necessary to derive the consistency condition between the squeezed limit…

广义相对论与量子宇宙学 · 物理学 2018-04-27 Antonio Enea Romano , Sander Mooij , Misao Sasaki

In this paper, we generalize the Weinberg's procedure to determine the comoving curvature perturbation $\cal R$ to non-attractor inflationary regimes. We show that both modes of $\cal R$ are related to a symmetry of the perturbative…

宇宙学与河外天体物理 · 物理学 2023-06-14 Diego Cruces , Cristiano Germani , Adrian Palomares

Gravitation is described in the context of a dilatonic theory that is conformally related to general relativity. All dimensionless ratios of fundamental dimensional quantities, e.g. particle masses and the Planck mass, as well as the…

宇宙学与河外天体物理 · 物理学 2017-04-21 Meir Shimon

We generalize the perturbations theory of loop quantum cosmology to a hydrodynamical form and define an effective curvature perturbation on an uniform density hypersurfaces $\zeta_e$. As in the classical cosmology, $\zeta_e$ should be…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Yu Li , Jian-Yang Zhu

A conserved cosmological perturbation is associated with each quantity whose local evolution is determined entirely by the local expansion of the Universe. It may be defined as the appropriately normalised perturbation of the quantity,…

天体物理学 · 物理学 2008-11-26 David H Lyth , David Wands

It is known that the curvature perturbation on uniform energy density (or comoving or uniform Hubble) slices on superhorizon scales is conserved to full nonlinear order if the pressure is only a function of the energy density (ie, if the…

宇宙学与河外天体物理 · 物理学 2011-03-18 Atsushi Naruko , Misao Sasaki

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 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

In this note, we compare two different definitions for the cosmological perturbation $\zeta$ which is conserved on large scales, and study their non-conservation on small scales. We derive an equation for the time evolution of the curvature…

广义相对论与量子宇宙学 · 物理学 2023-02-22 Chia-Min Lin

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

The study of long wavelength scalar perturbations, in particular the existence of conserved quantities when the perturbations are adiabatic, plays an important role in e.g. inflationary cosmology. In this paper we present some new conserved…

广义相对论与量子宇宙学 · 物理学 2019-08-07 Claes Uggla , John Wainwright

We discuss second-order cosmological perturbations on super-Hubble scales, in a scalar field dominated universe, such as during single field inflation. In this contest we show that the gauge-invariant curvature perturbations defined on…

天体物理学 · 物理学 2008-11-26 Filippo Vernizzi

We consider general, non-linear curvature perturbations on scales greater than the Hubble horizon scale by invoking an expansion in spatial gradients, the so-called gradient expansion. After reviewing the basic properties of the gradient…

天体物理学 · 物理学 2009-10-09 Misao Sasaki

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

We note that the decoherence of inflationary curvature perturbation $\zeta$ is dominated by a boundary term of the gravity action. Although this boundary term cannot affect cosmological correlators $\left\langle \zeta^n \right\rangle$, it…

高能物理 - 理论 · 物理学 2023-04-25 Chon Man Sou , Duc Huy Tran , Yi Wang

It is shown that a first-order relativistic perturbation theory for the open, flat or closed Friedmann-Lemaitre-Robertson-Walker universe admits one, and only one, gauge-invariant quantity which describes the perturbation to the energy…

广义相对论与量子宇宙学 · 物理学 2014-03-25 P. G. Miedema

The results of a recent paper [0808.2909] are generalized. A more detailed proof is presented that under essentially all conditions, the non-linear classical equations governing matter and gravitation in cosmology have ``adiabatic''…

高能物理 - 唯象学 · 物理学 2010-04-21 Steven Weinberg

In Horava's theory of gravity, Lorentz symmetry is broken in exchange for renormalizability, but the original theory has been argued to be plagued with problems associated with a new scalar mode stemming from the very breaking of Lorentz…

高能物理 - 理论 · 物理学 2015-05-18 Tsutomu Kobayashi , Yuko Urakawa , Masahide Yamaguchi

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

Since a positive future detection of non-linearity in the cosmic microwave background anisotropy pattern might allow to descriminate among different mechanisms giving rise to cosmological adiabatic perturbations, we study the evolution of…

高能物理 - 唯象学 · 物理学 2010-02-10 N. Bartolo , S. Matarrese , A. Riotto
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