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The stochastic gravitational wave background (SGWB) detected recently by the pulsar timing arrays (PTAs) observations may have cosmological origins. In this work we consider a model of single field inflation containing an intermediate phase…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Hassan Firouzjahi , Alireza Talebian

We explore the types of slow-roll inflationary potentials that result in scalar perturbations with a constant spectral index, i.e., perturbations that may be described by a single power-law spectrum over all observable scales. We devote…

We present a general slow-roll formalism within braneworld-motivated cosmologies with non-standard effective Friedmann equations. Full towers of parameters involving either the inflaton potential or the Hubble parameter are constructed and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Gianluca Calcagni

We present a general and unified formulation which can handle the classical evolution and quantum generation processes of the cosmological gravitational wave in a broad class of generalized gravity theories. Applications are made in several…

General Relativity and Quantum Cosmology · Physics 2009-10-30 J. Hwang

We derive slow-roll conditions for a scalar field which is non-minimally coupled with gravity in a consistent manner and express spectral indices of scalar/tensor perturbations in terms of the slow-roll parameters. The conformal invariance…

Astrophysics · Physics 2011-07-13 Takeshi Chiba , Masahide Yamaguchi

The slow-roll field equations for the case of non-minimally coupled scalar fields are obtained in two ways: first using the direct generalization of slow-roll conditions in the minimal coupling case to non-minimal one; and, second,…

General Relativity and Quantum Cosmology · Physics 2016-08-08 A. Savas Arapoglu

We point out that if quantum field renormalization is taken into account, and the counterterms are evaluated at the Hubble-radius crossing time or few e-foldings after it, the predictions of slow-roll inflation for both the scalar and…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-14 Ivan Agullo , Jose Navarro-Salas , Gonzalo J. Olmo , Leonard Parker

Motivated by the prospect of testing inflation from precision cosmic microwave background observations, we present analytic results for scalar and tensor perturbations in single-field inflation models based on the application of uniform…

Astrophysics · Physics 2009-11-07 Salman Habib , Katrin Heitmann , Gerard Jungman , Carmen Molina-Paris

Previously defined covariant and gauge-invariant perturbation variables, representing, e.g., the fractional spatial energy density gradient on hypersurfaces of constant expansion, are used to simplify the linear perturbation analysis of a…

Astrophysics · Physics 2009-10-30 Winfried Zimdahl

A brief account is given of large-scale structure modelling based on the assumption that the initial perturbations arise from inflation. A recap is made of the implications of inflation for large-scale structure; under the widely applicable…

Astrophysics · Physics 2007-05-23 Andrew R Liddle

In the present paper we study warm inflationary universe models in the context of a polytropic gas. We derive the characteristics of this model in slow-roll approximation and develop our model in two cases, 1- For a constant dissipative…

General Relativity and Quantum Cosmology · Physics 2015-06-16 M. R. Setare , M. J. S. Houndjo , V. Kamali

We analyze the consequences of different evolutions of the Hubble parameter on the spectrum of scalar inflationary perturbations. The analysis is restricted to inflationary phases described by a transient evolution, when uncommon features…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Leonardo Chataignier , Alexander Yu. Kamenshchik , Alessandro Tronconi , Giovanni Venturi

We supply fitting formulae enabling the normalization of slow-roll inflation models to the four-year COBE data. We fully include the effect of the gravitational wave modes, including the predicted relation of the amplitude of these modes to…

Astrophysics · Physics 2008-11-26 Emory F Bunn , Andrew R Liddle , Martin White

The ultra-slow-roll (USR) inflationary models predict large-amplitude scalar perturbations at small scales which can lead to the primordial black hole production and scalar-induced gravitational waves. In general scalar perturbations in the…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-29 Jing Liu , Zong-Kuan Guo , Rong-Gen Cai

$k$-inflation represents the most general single-field inflation, in which the perturbations usually obey an equation of motion with a time-dependent sound speed. In this paper, we study the observational predictions of the $k$-inflation by…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-19 Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng

We study the effects of the Gauss-Bonnet term on the energy spectrum of inflationary gravitational waves. The models of inflation are classified into two types based on their predictions for the tensor power spectrum: red-tilted ($n_T<0$)…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-15 Seoktae Koh , Bum-Hoon Lee , Gansukh Tumurtushaa

A second-order expansion for the quantum fluctuations of the matter field was considered in the framework of the warm inflation scenario. The friction and Hubble parameters were expended by means of a semiclassical approach. The…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Mauricio Bellini

This contribution is divided in two parts. The first part provides a text-book level introduction to gravitational radiation. The key concepts required for a discussion of gravitational-wave physics are introduced. In particular, the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Nils Andersson , Kostas D Kokkotas

After a review of a traditional analysis, it is shown a variation of a more recent treatment on the spectrum of relic gravitational waves (GWs). Then, a connection between the two different treatments will be analysed. Such a connection…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Christian Corda

The evolution of inflationary fluctuations can be recast as an inverse scattering problem. In this context, we employ the Gel'fand-Levitan method from inverse-scattering theory to reconstruct the evolution of both the inflaton field…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-15 Jorge Mastache , Fernando Zago , Arthur Kosowsky