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We reconstruct the potential of minimally coupling inflation model which produces small value of the tensor-scalar ratio. In these inflation models, tensor-scalar ratio is proportional to 1/N^2 scalar spectral index is in good agreement…

广义相对论与量子宇宙学 · 物理学 2019-04-10 Jun Chen

We consider the spectrum of primordial fluctuations produced by inflationary models where the inflaton potential is the sum of two exponential terms. A wide range of spectra result, with the only constraint being that the scalar spectrum…

天体物理学 · 物理学 2009-09-25 Richard Easther

In conventional model independent approaches, the power spectrum of primordial perturbations is characterized by such free parameters as spectral index, its running, the running of running, and the tensor-to-scalar ratio. In this work we,…

宇宙学与河外天体物理 · 物理学 2017-03-15 Moslem Zarei

We reconsider the predictions of inflation for the spectral index of scalar (energy density) fluctuations (n_s) and the tensor/scalar ratio (r) using a discrete, model-independent measure of the degree of fine-tuning required to obtain a…

天体物理学 · 物理学 2009-09-15 Latham A. Boyle , Paul J. Steinhardt , Neil Turok

We propose a test of single-scalar inflation based on using the well-measured scalar power spectrum to reconstruct the tensor power spectrum, up to a single integration constant. Our test is a sort of integrated version of the single-scalar…

宇宙学与河外天体物理 · 物理学 2017-09-06 D. J. Brooker , N. C. Tsamis , R. P. Woodard

We present a simple, nearly model-independent estimate that yields the predictions of the simplest inflationary and ekpyrotic/cyclic models for the spectral tilt of the primordial density inhomogeneities. Remarkably, we find that the…

天体物理学 · 物理学 2009-09-15 Justin Khoury , Paul J. Steinhardt , Neil Turok

We have investigated inflation models that predict a very small value of the tensor-to-scalar ratio, $r$. The spectral index $n_s$, and the tensor-to-scalar ratio $r$, are strictly constrained by the Planck data. $n_s$ and $r$ are sensitive…

宇宙学与河外天体物理 · 物理学 2020-01-01 Koichi Hirano

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…

天体物理学 · 物理学 2009-11-07 Salman Habib , Katrin Heitmann , Gerard Jungman , Carmen Molina-Paris

We point out that a simple inflationary model in which the axionic inflaton couples to a pure Yang-Mills theory may give the scalar spectral index (n_s) and tensor-to-scalar ratio (r) in complete agreement with the current observational…

高能物理 - 唯象学 · 物理学 2017-12-12 Yasunori Nomura , Taizan Watari , Masahito Yamazaki

We compute the spectral index for scalar perturbations generated in a primordial inflationary model. In this model, the transition of the inflationary phase to the radiative era is achieved through the decay of the cosmological term leading…

高能物理 - 理论 · 物理学 2009-11-07 Julio C. Fabris , Philippe Spindel

We study slow-roll inflation and the generation of primordial fluctuations in $F(T)$ gravity's rainbow. We obtain the second order action for scalar and tensor perturbations and then calculate the primordial power spectrum for them. Thus,…

广义相对论与量子宇宙学 · 物理学 2022-02-18 Yoelsy Leyva , Carlos Leiva , Giovanni Otalora , Joel Saavedra

The spectrum of primordial fluctuations from inflation can be obtained using a mathematically controlled, and systematically extendable, uniform approximation. Closed-form expressions for power spectra and spectral indices may be found…

天体物理学 · 物理学 2008-11-26 Salman Habib , Andreas Heinen , Katrin Heitmann , Gerard Jungman , Carmen Molina-Paris

Within an expansion in slow-roll inflation parameters, we derive the complete second-order expressions relating the ratio of tensor to scalar density perturbations and the spectral index of the scalar spectrum. We find that ``corrections''…

天体物理学 · 物理学 2009-10-22 Edward W. Kolb , Sharon L. Vadas

In this work we calculate the tensor power spectrum and the tensor-to-scalar ratio r within the frame of the Starobinsky inflationary model using the improved uniform approximation method and the third-order phase-integral method. We…

广义相对论与量子宇宙学 · 物理学 2021-05-12 Truman Tapia , Clara Rojas

If a sizeable tensor-to-scalar ratio ~0.1 turns out to be detected and a negative running of the scalar spectral index ~0.01 is significantly required by the data, the vast majority of single field models of inflation will be ruled out. We…

宇宙学与河外天体物理 · 物理学 2015-03-05 Guillermo Ballesteros , J. Alberto Casas

We prove an exact relation between the tensor and the scalar primordial power spectra generated during inflation. Such a mapping considerably simplifies the derivation of any power spectra as they can be obtained from the study of the…

宇宙学与河外天体物理 · 物理学 2013-09-04 Jose Beltran Jimenez , Marcello Musso , Christophe Ringeval

We study inflation and the generation of primordial fluctuations in $f(R)$ gravity's rainbow. We calculate the cosmological perturbations and then the scalar and tensor primordial power spectrum. We contrast the predictions of the model…

广义相对论与量子宇宙学 · 物理学 2023-04-13 Yoelsy Leyva , Giovanni Otalora

The effect of the initial conditions in inflation on scalar and tensor perturbations is investigated. Formulae for the power spectra of gravitational waves and curvature perturbations for any initial conditions in inflation are derived, and…

高能物理 - 理论 · 物理学 2007-05-23 Shiro Hirai

The primordial power spectra of scalar and tensor perturbations during slow-roll inflation are usually calculated with the method of Bessel function approximation. For constant-roll or ultra slow-roll inflation, the method of Bessel…

广义相对论与量子宇宙学 · 物理学 2018-04-09 Zhu Yi , Yungui Gong

Inflation in cosmology is a specific stage preceding the Big Bang, aimed at solving both old background problems and new perturbation issues. Single-field inflation is a candidate to illustrate the picture of the initial universe, and…

宇宙学与河外天体物理 · 物理学 2025-05-21 Guanqiao Liu
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