Reconstruction of the Scalar Field Potential in Inflationary Models with a Gauss-Bonnet term

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

doi:10.1103/physrevd.95.123509

Cited by 39 publications

(45 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We take the following potential and the coupling function for this type, which was first introduced in Ref. [35], as 2…”

Section: Gauss-bonnet Inflation Modelsmentioning

confidence: 99%

“…Therefore, in this work, we consider inflationary models with a Gauss-Bonnet (GB) term to estimate the energy spectrum of the PGW and to provide constraints on the reheating parameters. Inflationary models with a GB term are not uncommon, and it is well studied in the context of inflation, dark energy, and the PGW [28][29][30][31][32][33][34][35][36], as well as for reheating [37][38][39].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

2018

Self Cite

View full text Add to dashboard Cite

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) and blue-tilted spectra (n T > 0), respectively, and then the energy spectra of the gravitational waves are calculated for each type of model. We find that the gravitational wave spectra are enhanced depending on the model parameter if the predicted inflationary tensor spectra have a blue tilt, whereas they are suppressed for the spectra that have a red tilt. Moreover, we perform the analyses on the reheating parameters involving the temperature, the equation-of-state parameter, and the number of e-folds using the gravitational wave spectrum. Our results imply that the Gauss-Bonnet term plays an important role not only during inflation but also during reheating whether the process is instantaneous or lasts for a certain number of e-folds until it thermalizes and eventually completes. * Electronic address: kundol.koh@jejunu.ac.kr † Electronic address: bhl@sogang.ac.kr ‡ Electronic address: gansuhmgl@ibs.re.kr arXiv:1807.04424v2 [astro-ph.CO]

show abstract

“…We take the following potential and the coupling function for this type, which was first introduced in Ref. [35], as 2…”

Section: Gauss-bonnet Inflation Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

2018

Self Cite

View full text Add to dashboard Cite

show abstract

“…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%

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

Mishima

Kobayashi

2020

Phys. Rev. D

View full text Add to dashboard Cite

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. *

show abstract

“…A model with a coupling between the scalar field and the Gauss-Bonnet (GB) G invariant, to study inflationary slow-roll cosmology, was proposed in [29], displaying a phenomenology viable for a wide range of values of the free parameters of the theory, and novel bottom-up reconstruction techniques from the observational indices. Many studies of inflation with this type of coupling have appeared in the literature (for an important stream of related papers see, for example, [30][31][32][33][34][35][36][37][38][39][40]). This same coupling has also been proposed to address the dark energy problem in [41], where it was found that quintessence or a phantom phase may occur in the late time universe.…”

Section: Introductionmentioning

confidence: 99%

Cosmology in a model with Lagrange multiplier, Gauss–Bonnet and nonminimal kinetic couplings

Jimenez

Granda

Elizalde

2019

Int. J. Mod. Phys. D

View full text Add to dashboard Cite

A scalar-tensor model with Gauss-Bonnet and non-minimal kinetic couplings is considered, in which ghost modes are eliminated via a Lagrange multiplier constraint. A reconstruction procedure is deviced for the scalar potential and Lagrange multiplier, valid for any given cosmological scenario. In particular, inflationary and dark energy cosmologies of different types (power-law, Little-Rip, de Sitter, quasi de Sitter) are reconstructed in such models. It is shown that, for various choices of the kinetic coupling terms, it is possible to obtain a viable inflationary phenomenology compatible with the most accurate values of the observational indices.

show abstract

Reconstruction of the Scalar Field Potential in Inflationary Models with a Gauss-Bonnet term

Cited by 39 publications

References 31 publications

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

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

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

Cosmology in a model with Lagrange multiplier, Gauss–Bonnet and nonminimal kinetic couplings

Contact Info

Product

Resources

About