Hamilton-Jacobi formalism for tachyon inflation

Aghamohammadi, Amir; Mohammadi, Abolhassan; Golanbari, T.; Saaidi, Kh.

doi:10.1103/physrevd.90.084028

Cited by 30 publications

(24 citation statements)

References 61 publications

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“…Instead of the potential, in the formalism Hubble parameter is given as a function of the scalar field. This formalism in cold inflationary studies has got its place [26][27][28][29][30][31][32], however up to our knowledge there is no work considering warm inflation using this formalism. Then it sounds interesting to investigate warm inflation using this powerful formalism.…”

Section: Introductionmentioning

confidence: 99%

Hamilton-Jacobi formalism to warm inflationary scenario

et al. 2017

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Hamilton-Jacobi formalism as a powerful method is being utilized to reconsider warm inflationary scenario, where the scalar field as the main component driving inflation interacts with other fields. Separating the context to strong and weak dissipative regimes, the goal is followed for two popular functions of Γ. Applying slow-rolling approximation, the required perturbations parameters are extracted and by comparison to the latest Planck data, the free parameters are restricted. Possibility of producing an acceptable inflation is studied where the result shows that for all cases the model could successfully suggests amplitude of scalar perturbation, scalar spectral index, its running, and the tensor-to-scalar ratio.

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Section: Introductionmentioning

confidence: 99%

Hamilton-Jacobi formalism to warm inflationary scenario

et al. 2017

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“…Effective potential for tachyon field in string theory were computed in reference [34]. Tachyon field were also considered in Hamilton-Jacobi approach [35] and in a logamediate inflationary model [36]. In ref.…”

Section: Introductionmentioning

confidence: 99%

Constraints on tachyon inflationary models with an AdS/CFT correspondence

et al. 2016

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In order to study the effect of the anti de Sitter/ conformal field theory correspondence (AdS/CFT) on the primordial inflationary era, we consider a universe filled with a tachyon field in a slow-roll regime. In this context, the background and perturbative parameters characterising the inflationary era are related to the standard one by correction terms. We show a clear agreement between the theoretical prediction and the observational data for the above mentioned model. The main results of our work are illustrated for an exponential potential. We show that, for a suitable conformal anomaly coefficient, AdS/CFT correspondence might leave its imprints on the spectrum of the gravitational waves amplitude with a tensor to scalar ratio, r, of the perturbations compatible with Planck data.

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“…Then, by considering the scalar perturbations it was shown that, in general, the amplitude of the scalar perturbation could be evolve even on superhorizon scales. The work has been improved in [39], where the authors use Hamilton-Jacobi formalism [40][41][42][43][44][45][46] and extract an exact solution for the model. It was determined that the solution confirms attractor behavior.…”

Section: Introductionmentioning

confidence: 99%

Beta-function formalism for k-essence constant-roll inflation

Mohammadi

Golanbari

Saaidi

2020

Physics of the Dark Universe

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The beta-function formalism is being used to study the constant-roll inflation in k-essence models. Assuming the second slow-roll parameter as a constant leads to a first order differential equation for β-function which much easier to solve and find a solution than the second (non-liner) order equation that we have in the corresponding standard constant-roll inflation. Many cosmological models are known as a subclass of k-essence, so we will try to consider the model as general as possible. It is determined that the second slow-roll parameter should be positive to produce a small value for the first slow-roll parameter. The scenario is considered for three well-known cosmological model, and it is clarified that for non-canonical and tachyon model, the scalar spectral index never reach the observational range, however for DBI model we could arrives as a result consistence with the observational data.

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Hamilton-Jacobi formalism for tachyon inflation

Cited by 30 publications

References 61 publications

Hamilton-Jacobi formalism to warm inflationary scenario

Hamilton-Jacobi formalism to warm inflationary scenario

Constraints on tachyon inflationary models with an AdS/CFT correspondence

Beta-function formalism for k-essence constant-roll inflation

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