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The energy density spectrum is an observable of gravitational waves. Divergence has appeared in the energy density spectra of the scalar induced gravitational waves for different gauge fixings. To resolve the discrepancy, we investigate the…

General Relativity and Quantum Cosmology · Physics 2020-10-06 Zhe Chang , Sai Wang , Qing-Hua Zhu

Inflation generates gravitational waves, which may be observable in the low multipoles of the cosmic microwave background (cmb) anisotropy but only if the inflaton field variation is at least of order the Planck scale. Such a large…

High Energy Physics - Phenomenology · Physics 2009-10-28 David H. Lyth

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…

High Energy Physics - Theory · Physics 2009-10-28 R. Brustein , M. Gasperini , M. Giovannini , V. F. Mukhanov , G. Veneziano

$SU(2)$ gauge fields can generate large gravitational waves during inflation, if they are coupled to an axion which can be either the inflaton or a spectator field. The shape of the produced tensor power spectrum $\mathcal{P}_h$ depends on…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-05 Tomohiro Fujita , Evangelos I. Sfakianakis , Maresuke Shiraishi

We discuss some perturbative techniques suitable for the gauge-invariant treatment of the scalar and tensor inhomogeneities of an anisotropic and homogeneous background geometry whose spatial section naturally decomposes into the direct…

High Energy Physics - Theory · Physics 2009-10-30 Massimo Giovannini

We study observational signatures of two classes of anisotropic inflationary models in which an inflaton field couples to (i) a vector kinetic term F_{mu nu}F^{mu nu} and (ii) a two-form kinetic term H_{mu nu lambda}H^{mu nu lambda}. We…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-12 Junko Ohashi , Jiro Soda , Shinji Tsujikawa

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…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Cheng-Jun Fang , Zhi-Zhang Peng , Han-Wen Hu , Zong-Kuan Guo

After the inflationary phase, the universe enters the preheating phase, during which the inflaton field rolls down its potential and oscillates. When the potential significantly deviates from a parabolic shape at its minimum, these…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Daniel del-Corral , Paolo Gondolo , K. Sravan Kumar , João Marto

We propose a novel scenario in which scalar perturbations, that seed the large scale structure of the Universe, are generated without relying on a scalar field (the inflaton). In this framework, inflation is driven by a de Sitter space-time…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-20 Daniele Bertacca , Raul Jimenez , Sabino Matarrese , Angelo Ricciardone

We investigate the gravitational wave background induced by the first order scalar perturbations in the curvaton models. We consider the quadratic and axion-like curvaton potential which can generate the blue-tilted power spectrum of…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-09 Masahiro Kawasaki , Naoya Kitajima , Shuichiro Yokoyama

We study the induced primordial gravitational waves (GW) coming from the effect of scalar perturbation on the tensor perturbation at the second order of cosmological perturbation theory. We use the evolution of the standard model degrees of…

High Energy Physics - Phenomenology · Physics 2020-02-19 Fazlollah Hajkarim , Jürgen Schaffner-Bielich

We recently derived exact solutions for the scalar, vector and tensor mode functions of a single, minimally coupled scalar plus gravity in an arbitrary homogeneous and isotropic background. These solutions are applied to obtain improved…

Astrophysics · Physics 2009-11-10 N. C. Tsamis , R. P. Woodard

A generic outcome of theories with scalar-tensor coupling is the existence of inflationary attractors, either power-law or de Sitter. The fluctuations arising during this phase are Gaussian and their spectrum depends on the wavenumber $k$…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Luca Amendola , Diego Bellisai , Franco Occhionero , Rome Astronomical Observatory

Stochastic gravitational waves can be induced from the primordial curvature perturbations generated during inflation, through scalar-tensor mode coupling at the second order of cosmological perturbation theory. Here we discuss a model of…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-07 Richa Arya , Arvind Kumar Mishra

We study both the background evolution and cosmological perturbations of anisotropic inflationary models supported by coupled scalar and vector fields. The models we study preserve the U(1) gauge symmetry associated with the vector field,…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-29 Burak Himmetoglu

There is a growing expectation that the gravitational wave detectors will start probing the stochastic gravitational wave backgrounds in the following years. We explore the spectral shapes of gravitational waves induced to second order by…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-13 Ioannis Dalianis , Konstantinos Kritos

In a recent paper [17], we studied the evolution of the background geometry and scalar perturbations in an inflationary, spatially closed Friedmann-Lema\^itre-Robertson-Walker (FLRW) model having constant positive spatial curvature and…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-24 Béatrice Bonga , Brajesh Gupt , Nelson Yokomizo

The possibility that the scale-invariant inflationary spectrum may be modified due to the hidden assumptions about the Planck scale physics -- dubbed as trans-Planckian inflation -- has received considerable attention. To mimic the possible…

High Energy Physics - Theory · Physics 2009-11-11 S. Shankaranarayanan , Musongela Lubo

We put the upper bound on the gravitational waves (GWs) induced by the scalar-field fluctuations during the inflation. In particular, we focus on the case where the scalar fluctuations get amplified within some subhorizon scales by some…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-22 Keisuke Inomata

We analyse the post-inflationary contribution to the stochastic gravitational wave background due to a resonant feature in the scalar power spectrum, which is characterised by an oscillation in $\log(k)$, complementing our previous work…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-08 Jacopo Fumagalli , Sébastien Renaux-Petel , Lukas T. Witkowski