De Sitter geometric inflation from dynamical singularities

TL;DR

This paper explores a geometric inflation model with higher curvature corrections, showing that a de Sitter inflationary phase naturally emerges near the poles of a general dynamical function, independent of specific cosmological assumptions.

Contribution

It introduces a general framework for geometric inflation with infinite higher curvature corrections, demonstrating the emergence of de Sitter inflation without specific cosmological models.

Findings

De Sitter phase appears near poles of the dynamical function.

The framework is independent of particular cosmological dynamics.

Higher curvature corrections drive inflation in this model.

Abstract

Within the framework of geometric inflation, where the Friedmann equation is modified to incorporate an infinite series of higher curvature corrections, we describe the emergence of a de Sitter inflationary phase near the poles of an arbitrary dynamical function. Our analysis is quite general and does not depend on any specific choice of cosmological dynamics.