Gauss-Bonnet Inflation after Planck2018

Abstract

We study the primordial perturbations and reheating process in the models where the Gauss-Bonnet term is non-minimally coupled to the canonical and non-canonical (DBI and tachyon) scalar fields. We consider several potentials and Gauss-Bonnet coupling terms as power-law, dilaton-like, $\cosh$-type, E-model and T-model. To seek the observational viability of these models, we study the scalar perturbations numerically and compare the results with the Planck2018 TT, TE, EE+lowE+lensing+BK14+BAO joint data at $68\%$ CL and $95\%$ CL. We also study the tensor perturbations in confrontation with the Planck2018 TT, TE, EE+lowE+lensing+BK14+BAO+ LIGO$\&$Virgo2016 joint data at $68\%$ CL and $95\%$ CL. In this regard, we obtain some constraints on the Gauss-Bonnet coupling parameter $\beta$. Another important process in the early universe is the reheating phase after inflation which is necessary to reheat the universe for subsequent evolution. In this regard, we study the reheating process in these models and find some expressions for the e-folds number and temperature during that era. Considering that from Planck TT,TE,EE+lowEB+lensing data and BICEP2/Keck Array 2014, based on the $\Lambda$CDM$+r+\frac{d{n}_s}{d\ln k}$ model, we have $n_s=0.9658\pm 0.0038$ and $r<0.072$, we obtain some constraints on the e-folds number and temperature. From the values of the e-folds number and the effective equation of state and also the observationally viable value of the scalar spectral index, we explore the capability of the models in explaining the reheating phase.

52 pages, 16 figures, 16 tables

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Cited by in corpus (10)

• Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity
• Generalization of cosmological attractor approach to Einstein-Gauss-Bonnet gravity
• Study of Goldstone Inflation in the domain of Einstein-Gauss-Bonnet gravity
• Inflation with Gauss-Bonnet and Chern-Simons higher-curvature-corrections in the view of GW170817
• Deviation from Slow-Roll Regime in the EGB Inflationary Models with $r\sim N_e^{-1}$
• Tachyon Mimetic Inflation as an Instabilities-Free Model
• Some Aspects of the Tachyon Inflation with Superpotential in Confrontation with Planck2018 Data
• Reheating era in Gauss-Bonnet theories of gravity compatible with the GW170817 event
• Viable Intermediate Inflation in the Mimetic DBI Model
• Intermediate and Power-Law Inflation in the Tachyon Model with Constant Sound Speed