Inflationary predictions of Geometric Inflation

Abstract

In the framework of gravitational models obtained from the Geometric Inflation's proposal, where an infinite tower of curvature scalars are included into the action, we compute the slow-roll parameters by the Hubble slow-roll approach. We test the viability of such models as inflationary scenarios, focusing on the tensor-to-scalar ratio, $r$, and spectral scalar index, $n_s$, relation. We find that all models considered here produce inflation and, most of them coincide, some better than others, with the marginalized 95$\%$ CL region given by Planck's data collaboration.

arXiv comment15 pages, 3 figures. Accepted version for publication in Physics Letters B. References added

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• On the viability of the evolution of the universe with Geometric Inflation
• Dynamically Generated Inflationary Lambda-CDM
• Singularity resolution and inflation from an infinite tower of regularized curvature corrections
• A unified geometric description of the Universe: from inflation to late-time acceleration without an inflaton nor a cosmological constant
• Small free field inflation in higher curvature gravity
• De Sitter geometric inflation from dynamical singularities
• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes