On the viability of the evolution of the universe with Geometric Inflation

TL;DR

This paper investigates the cosmological viability of Geometric Inflation, showing it can reproduce key universe epochs and naturally produce slow-roll inflation with a graceful exit, using an infinite tower of curvature invariants.

Contribution

It demonstrates that Geometric Inflation, with an infinite series of curvature invariants, can successfully model the universe's evolution from inflation to late-time acceleration.

Findings

Reproduces inflation, Big Bang Nucleosynthesis, and late-time acceleration.

Predicts a robust slow-roll condition.

Provides scenarios for calibrating the energy scale.

Abstract

We perform a general analysis of the cosmological viability of Geometric Inflation. We show that the evolution of the universe, from inflation to the present day, can be seen from the addition of an infinite tower of curvature invariants into the Hilbert-Einstein action. The main epochs of the Universe can be reproduced: Inflation, Big Bang Nucleosynthesis, and Late-time acceleration driven by the cosmological constant. The slow-roll condition is a robust prediction of the theory. Inflation possesses a graceful exit with enough number of $e-$folds between the limit imposed by the Planck density and the exit of the exponential expansion to solve the horizon problem and the absence of topological defects. We also provide some scenarios where the energy scale of the theory can be calibrated.