# Autonomous Dynamical System Description of de Sitter Evolution in Scalar Assisted $f(R)-\\phi$ Gravity

Source: [Autonomous Dynamical System Description of de Sitter Evolution in Scalar Assisted $f(R)-\\phi$ Gravity](<https://www.sota2.com/research/paper/68fa39021e209131ce8bf1ca>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T23:16:46.248Z

Authors: K. Kleidis, V.K. Oikonomou

Published: 2018-08-14T13:23:56.000Z

## Abstract

In this letter we will study the cosmological dynamical system of an $f(R)$ gravity in the presence of a canonical scalar field $\\phi$ with an exponential potential, by constructing the dynamical system in a way that it is render autonomous. This feature is controlled by a single variable $m$, which when it is constant, the dynamical system is autonomous. We focus on the $m=0$ case which, as we demonstrate by using a numerical analysis approach, leads to an unstable de Sitter attractor, which occurs after $N\\sim 60$ $e$-foldings. This instability can be viewed as a graceful exit from inflation, which is inherent to the dynamics of de Sitter attractors.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1808.04674>)

[PDF](<https://arxiv.org/pdf/1808.04674.pdf>)