Cosmological Dynamics of de Sitter Gravity

TL;DR

This paper explores a new cosmological model based on de Sitter gravity, analyzing its dynamics to understand the universe's late-time exponential expansion through both theoretical and numerical methods.

Contribution

It introduces a novel de Sitter gravity-based cosmological model and performs a comprehensive dynamical analysis to identify critical points and late-time behavior.

Findings

Existence of a positive attractor indicating late-time exponential expansion

Identification of an autonomous system with 8 critical points

Numerical results support the theoretical conclusion of universe entering exponential growth

Abstract

A new cosmological model based on the de Sitter gravity is investigated by dynamical analysis and numerical discussions. Via some transformations, the evolution equations of this model can form an autonomous system with 8 physical critical points. Among these critical points there exist one positive attractor and one negative attractor. The positive attractor describes the asymptotic behavior of late-time universe, which indicates that the universe will enter the exponential expansion phase, finally. Some numerical calculations are also carried out, which convince us of this conclusion derived from the dynamical analysis.