Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity

Abstract

We investigate inflationary dynamics in the framework of the Einstein-Gauss-Bonnet gravity. In the model under consideration, the inflaton field is non-minimally coupled to the Gauss-Bonnet curvature invariant, so that the latter appears to be dynamically important. We consider a quartic potential for the inflaton field, in particular the one asymptotically connected to the Higgs inflation, and a wider class of coupling functions not considered in the earlier work. Keeping in mind the observational bounds on the parameters - the amplitude of scalar perturbations $A_s$, spectral index $n_s$ and tensor-to-scalar ratio $r$, we demonstrate that the model a quartic potential and the proposed coupling function is in agreement with observation.

17 pages, 5 figures, references and comments are added, revised version to appear in Phys. Rev. D

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• A Refined Einstein-Gauss-Bonnet Inflationary Theoretical Framework
• Primordial Gravitational Waves Predictions for GW170817-compatible Einstein-Gauss-Bonnet Theory
• De Sitter solutions in Einstein-Gauss-Bonnet gravity
• Generalization of cosmological attractor approach to Einstein-Gauss-Bonnet gravity
• Bottom-Up Reconstruction of Viable GW170817 Compatible Einstein-Gauss-Bonnet Theories
• Study of Goldstone Inflation in the domain of Einstein-Gauss-Bonnet gravity
• Inflation with F(T) Teleparallel 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 $r\sim N_e^{-1}$
• Inflation with antisymmetric tensor field: new candidates
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation