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We study the 2nd-order scalar, vector and tensor metric perturbations in Robertson-Walker (RW) spacetime in synchronous coordinates during the radiation dominated (RD) stage. The dominant radiation is modeled by a relativistic fluid…

广义相对论与量子宇宙学 · 物理学 2019-02-05 Bo Wang , Yang Zhang

We study the second-order perturbations in the Einstein-de Sitter Universe in synchronous coordinate. We solve the second-order perturbed Einstein equation with scalar-tensor, and tensor-tensor couplings between 1st order perturbations, and…

广义相对论与量子宇宙学 · 物理学 2019-02-06 Yang Zhang , Fei Qin , Bo Wang

We present a systematic study of the 2nd order scalar, vector and tensor metric perturbations in the Einstein-de Sitter Universe in synchronous coordinates. For the scalar-scalar coupling between 1st order perturbations, we decompose the…

广义相对论与量子宇宙学 · 物理学 2019-02-05 Bo Wang , Yang Zhang

A number of scalar field models proposed as alternatives to the standard inflationary scenario involve contracting phases which precede the universe's present phase of expansion. An important question concerning such models is whether there…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Filipe C. Mena , David J. Mulryne , Reza Tavakol

The evolution of gauge invariant second-order scalar perturbations in a general single field inflationary scenario are presented. Different second order gauge invariant expressions for the curvature are considered. We evaluate…

广义相对论与量子宇宙学 · 物理学 2008-11-26 F. Finelli , G. Marozzi , G. P. Vacca , G. Venturi

We continue to study the 2nd-order cosmological perturbations in synchronous coordinates in the framework of the general relativity (GR) during the radiation dominated (RD) stage, and to focus on the scalar-tensor and tensor-tensor…

广义相对论与量子宇宙学 · 物理学 2019-06-27 Bo Wang , Yang Zhang

We present the first computation of the cosmological perturbations generated during inflation up to second order in deviations from the homogeneous background solution. Our results, which fully account for the inflaton self-interactions as…

天体物理学 · 物理学 2010-04-05 V. Acquaviva , N. Bartolo , S. Matarrese , A. Riotto

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 show that there are inflationary models for which perturbations in the energy momentum tensor, which are of second order in the scalar field, cannot be neglected. We first specify the conditions under which the usual first order…

天体物理学 · 物理学 2009-10-22 R. Durrer , M. Sakellariadou

Scalar induced gravitational waves contribute to the cosmological gravitational wave background. They can be related to the primordial density power spectrum produced towards the end of inflation and therefore are a convenient new tool to…

宇宙学与河外天体物理 · 物理学 2024-10-10 Raphael Picard , Karim A. Malik

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

In this paper we present the study of the scalar cosmological perturbations of a single field inflationary model up to first order in deviation. The Christoffel symbols and the tensorial quantities are calculated explicitly in function of…

广义相对论与量子宇宙学 · 物理学 2020-07-10 Truman Tapia , Clara Rojas

We analyze cosmological perturbations to the linear order in the context of inflation with an arbitrary number of scalar fields. The fields take values on a non-trivial manifold with a positive-definite metric and are non-minimally coupled…

天体物理学 · 物理学 2007-05-23 Joydev Lahiri , Gautam Bhattacharya

We introduce the scalar and tensor modes of the gravitational perturbation in the presence of a scalar field which describes inflation. We investigate the back-reaction of the perturbations to the background by studying the effective…

广义相对论与量子宇宙学 · 物理学 2025-10-02 Inyong Cho

Gauge invariant treatments of the second order cosmological perturbation in a four dimensional homogeneous isotropic universe filled with the perfect fluid are completely formulated without any gauge fixing. We derive all components of the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Kouji Nakamura

Along the general framework of the gauge invariant perturbation theory developed in the papers [K. Nakamura, Prog. Theor. Phys. {\bf 110} (2003), 723; {\it ibid}, {\bf 113} (2005), 481.], we formulate the second order gauge invariant…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Kouji Nakamura

We calculate for the first time the third-order spectrum of gravitational waves sourced by the amplified scalar field perturbations during inflation using the in-in formalism, and discuss the conditions for the third-order spectrum to be…

广义相对论与量子宇宙学 · 物理学 2025-05-16 Cheng-Jun Fang , Zhi-Zhang Peng , Han-Wen Hu , Zong-Kuan Guo

We investigate the cosmological perturbation of two-scalar field model during the reheating phase after inflation. Using the exact solution of the perturbation in long-wavelength limit, which is expressed in terms of the background…

广义相对论与量子宇宙学 · 物理学 2008-11-26 A. Taruya , Y. Nambu

The motion of a pseudo-scalar field $X$ during inflation naturally induces a significant amplification of the gauge fields to which it is coupled. The amplified gauge fields can source characteristic scalar and tensor primordial…

宇宙学与河外天体物理 · 物理学 2016-09-21 Marco Peloso , Lorenzo Sorbo , Caner Unal

We compute the spectrum of scalar and tensor metric perturbations generated, as amplified vacuum fluctuations, during an epoch of dilaton-driven inflation of the type occurring naturally in string cosmology. In the tensor case the…

高能物理 - 理论 · 物理学 2009-10-28 R. Brustein , M. Gasperini , M. Giovannini , V. F. Mukhanov , G. Veneziano
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