Cosmological dynamics of exponential gravity

TL;DR

This paper explores the cosmological implications of exponential gravity models, analyzing their dynamics and stability, and identifying solutions that could describe both early and late accelerated expansion phases of the universe.

Contribution

It provides a comprehensive dynamical systems analysis of exponential gravity, revealing stable double de-Sitter solutions for early and late universe acceleration.

Findings

Existence of stable double de-Sitter phases

Exact solutions in vacuum and matter cases

Potential to model early and late-time acceleration

Abstract

We present a detailed investigation of the cosmological dynamics based on $\exp (-R/{\Lambda})$ gravity. We apply the dynamical system approach to both the vacuum and matter cases and obtain exact solutions and their stability in the finite and asymptotic regimes. The results show that cosmic histories exist which admit a double de-Sitter phase which could be useful for describing the early and the late-time accelerating universe.