The Hubble flow of plateau inflation

Coone, Dries; Roest, Diederik; Vennin, Vincent

doi:10.1088/1475-7516/2015/11/010

Cited by 20 publications

(35 citation statements)

References 53 publications

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“…We have only dealt with polynomials in this work, and it is possible to construct examples with more extreme corrections using other forms of H(φ) such as the Padé series [5,13,16]. We will investigate this in future work.…”

Section: The Ns-r Planementioning

confidence: 99%

Inflation model building with an accurate measure ofe-folding

Chongchitnan

2016

Phys. Rev. D

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It has become standard practice to take the logarithmic growth of the scale factor as a measure of the amount of inflation, despite the well-known fact that this is only an approximation for the true amount of inflation required to solve the horizon and flatness problems. The aim of this work is to show how this approximation can be completely avoided using an alternative framework for inflation model building. We show that using the inverse Hubble radius, H = aH, as the key dynamical parameter, the correct number of e-folding arises naturally as a measure of inflation. As an application, we present an interesting model in which the entire inflationary dynamics can be solved analytically and exactly, and, in special cases, reduces to the familiar class of power-law models.

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Section: The Ns-r Planementioning

confidence: 99%

Inflation model building with an accurate measure ofe-folding

Chongchitnan

2016

Phys. Rev. D

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“…They have been called the horizon-flow parameters by Schwarz [11], but were called the Hubble flow parameters (or functions) by Coone et al [25] and Martin [18]. They are defined by…”

Section: The Horizon-flow Slow Roll Parametersmentioning

confidence: 99%

“…Here the constant α accounts for the contribution from the scalar field φ e = φ(0) at the end of inflation where N = 0. Inserting Equation (5.24) into the first of Equation (5.1) gives 25) where x = N + α. Introducing y = 1/ε Equation (5.25) may be written…”

Section: Perturbative Classmentioning

confidence: 99%

Predictions of Spectral Parameters by Several Inflationary Universe Models in Light of the Planck Results

Grøn

2018

Universe

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I give a review of predictions of values of spectral parameters for a large number of inflationary models. The present review includes detailed deductions and information about the approximations that have been made, written in a style that is suitable for text book authors. The Planck data have the power of falsifying several models of inflation as shown in the present paper. Furthermore, they fix the beginning of the inflationary era to a time about 10 −36 s, and the typical energy of a particle at this point of time to 10 16 GeV, only a few orders of magnitude less than the Planck energy, and at least 12 orders of magnitude larger than the most energetic particle produced by CERN's particle accelerator, LHC. This is a phenomenological review with contents as given in the list below. It includes systematic presentations of the different types of slow roll parameters that have been in use, and also of the N-formalism.

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“…Therefore, in our framework, an inflation model can be constructed using an increasing function H (φ), with inflation ending at a maximum point. It is worth comparing this approach to the Hamilton-Jacobi formalism previously used to explore the parameter space for single-field inflation [13][14][15][16]. In this approach, H(φ) (the energy scale of inflation) is specified, where…”

Section: The H (φ) Parametrizationmentioning

confidence: 99%

“…1 As long asḢ = H (φ)φ < 0, which is a consequence of the Null-Energy Condition. 2 In particular, [16] used the Hamilton-Jacobi approach to construct a family of plateau-like potentials using truncated series with stochastic coefficients drawn from special distributions, whereas we construct similar models using a simple Gaussian function.…”

Section: The H (φ) Parametrizationmentioning

confidence: 99%

Primordial Gravitational Waves and Reheating in a New Class of Plateau-Like Inflationary Potentials

Chongchitnan

2018

Universe

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Abstract:We study a new class of inflation model parametrized by the Hubble radius, such that aH ∝ exp(−αφ) n . These potentials are plateau-like, and reduce to the power-law potentials in the simplest case n = 2. We investigate the range of model parameters that is consistent with current observational constraints on the scalar spectral index and the tensor-to-scalar ratio. The amplitude of primordial gravitational waves in these models is shown to be accessible by future laser interferometers such as DECIGO. We also demonstrate how these observables are affected by the temperature and equation of state during reheating. We find that a large subset of this model can support instantaneous reheating, as well as very low reheating temperatures of order a few MeV, giving rise to interesting consequences for dark-matter production.

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The Hubble flow of plateau inflation

Cited by 20 publications

References 53 publications

Inflation model building with an accurate measure ofe-folding

Inflation model building with an accurate measure ofe-folding

Predictions of Spectral Parameters by Several Inflationary Universe Models in Light of the Planck Results

Primordial Gravitational Waves and Reheating in a New Class of Plateau-Like Inflationary Potentials

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