Constraints on the reheating parameters after Gauss-Bonnet inflation from primordial gravitational waves

Koh, Seoktae; Lee, Bum-Hoon; Tumurtushaa, Gansukh

doi:10.1103/physrevd.98.103511

Cited by 28 publications

(24 citation statements)

References 52 publications

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“…which agrees with the result of [28]. In our notation, this can also be written in a simpler way as n s −1 = −4 +2η.…”

Section: Tensor Tilt and Stabilitysupporting

confidence: 87%

“…This reproduces the result of [28]. The expression for the scalar spectral index can also be reproduced.…”

Section: Tensor Tilt and Stabilitysupporting

confidence: 78%

“…Equations (52) Let us finally check that the result of Gauss-Bonnet inflation studied in [18,19,28] can be reproduced from our general framework. The Lagrangian considered in [28] is given by 2…”

Section: Tensor Tilt and Stabilitymentioning

confidence: 83%

“…While the argument in [9] seems to be general to a large extent, a counterexample is known to exist in the literature: inflation with the nonminimal coupling to the Gauss-Bonnet term [18][19][20][21][22][23][24][25][26][27][28][29]. Though in this case the energy density of the slowly rolling inflaton is dominated by its potential, one can have a positive tensor tilt [18,19,22].…”

Section: Introductionmentioning

confidence: 99%

“…More explicitly, in Refs. [18,19,28] the following nonminimal coupling to the Gauss-Bonnet term is considered:…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Revisiting slow-roll dynamics and the tensor tilt in general single-field inflation

Mishima

Kobayashi

2020

Phys. Rev. D

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We explore the possibility of a blue-tilted gravitational wave spectrum from potential-driven slow-roll inflation in the Horndeski theory. In Kamada et al. (2012), it was claimed that a blue gravitational wave spectrum cannot be obtained from stable potential-driven slow-roll inflation within the Horndeski framework. However, it has been demonstrated that the spectrum of primordial gravitational waves can be blue in inflation with the Gauss-Bonnet term, where the potential term is dominant and slow-roll conditions as well as the stability conditions are satisfied. To fill in this gap, we clarify where the discrepancy is coming from. We extend the formulation of Kamada et al. (2012) and show that a blue gravitational wave spectrum can certainly be generated from stable slow-roll inflation if some of the conditions previously imposed on the form of the free functions in the Lagrangian are relaxed. *

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“…which agrees with the result of [28]. In our notation, this can also be written in a simpler way as n s −1 = −4 +2η.…”

Section: Tensor Tilt and Stabilitysupporting

confidence: 87%

“…This reproduces the result of [28]. The expression for the scalar spectral index can also be reproduced.…”

Section: Tensor Tilt and Stabilitysupporting

confidence: 78%

Section: Tensor Tilt and Stabilitymentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

“…More explicitly, in Refs. [18,19,28] the following nonminimal coupling to the Gauss-Bonnet term is considered:…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Revisiting slow-roll dynamics and the tensor tilt in general single-field inflation

Mishima

Kobayashi

2020

Phys. Rev. D

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Implication of pulsar timing array experiments on cosmological gravitational wave detection

Yokoyama

2021

AAPPS Bull.

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Gravitational waves provide a new probe of the Universe which can reveal a number of cosmological and astrophysical phenomena that cannot be observed by electromagnetic waves. Different frequencies of gravitational waves are detected by different means. Among them, precision measurements of pulsar timing provides a natural detector for gravitational waves with light-year scale wavelengths. In this review, first a basic framework to detect a stochastic gravitational wave background using pulsar timing array is introduced, and then possible interpretations of the latest observational result of 12.5-year NANOGrav data are described.

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Canonical scalar field inflation with a Woods–Saxon potential

Oikonomou

Chatzarakis

2019

Annals of Physics

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This paper focuses on the realization of an inflationary model from a canonical scalar field theory with a Woods-Saxon potential, in the slow-roll approximation. Our analysis indicates that the observable quantities derived theoretically from our model, namely the spectral index of the primordial scalar curvature perturbations and the tensor-to-scalar ratio, are compatible with the latest Planck collaboration data. We also discuss the qualitative features of the potential, and we show that the value of the scalar field for which the graceful exit occurs, coincides with the inflection point of the scalar potential. We also attempt to study the post-inflation reheating phase of the model, in order to further examine the viability of the Woods-Saxon scalar field model, and as we demonstrate the results indicate viability of the model for this era too, however the instantaneous reheating is not allowed for the model at hand. PACS numbers: 04.50. Kd, 95.36.+x, 98.80.Cq,

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Constraints on the reheating parameters after Gauss-Bonnet inflation from primordial gravitational waves

Cited by 28 publications

References 52 publications

Revisiting slow-roll dynamics and the tensor tilt in general single-field inflation

Revisiting slow-roll dynamics and the tensor tilt in general single-field inflation

Implication of pulsar timing array experiments on cosmological gravitational wave detection

Canonical scalar field inflation with a Woods–Saxon potential

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