A dynamical system approach to the holographic dark energy in a modified theory of gravity

In this paper, we carry a dynamical system analysis of a holographic dark energy model of a modified theory of gravity based on braneworld scenario. The infra-red cutoff of the holographic dark energy is considered to be the Hubble scale in a first approach and the Ricci scalar curvature scale in a second approach. We present a detailed analysis of the critical points, their stability and the late-time cosmological viability of the solutions in the phase space. For both holographic dark energy models, we investigate the case of a noninteracting braneworld and extend our analysis to the interacting case between dark energy and cold dark matter by considering some specific forms of interaction.

Automated summary

This paper presents a dynamical system analysis of a holographic dark energy model based on a modified theory of gravity in a braneworld scenario. The study considers different infra-red cutoffs for the holographic dark energy and analyzes the critical points, stability, and late-time cosmological viability of the solutions in the phase space. The analysis extends to investigating noninteracting and interacting cases between dark energy and cold dark matter in specific forms of interaction.