A dynamical system representation of generalized Rastall gravity

TL;DR

This paper analyzes a modified gravity model called generalized Rastall gravity using dynamical systems, showing it can produce a realistic cosmic evolution sequence and account for the Universe's accelerated expansion.

Contribution

It introduces a dynamical system framework for generalized Rastall gravity and demonstrates its viability in explaining cosmic acceleration and evolution.

Findings

Stable critical point for late-time acceleration.

Sequence from radiation to dark energy domination.

Consistency with observational data on spatial curvature.

Abstract

In this work we study the phase-space analysis of generalized Rastall gravity (GRG) which has recently been introduced as a modification to the original version of Rastall gravity (RG). In GRG, the coupling parameter assumes a dynamical feature and may play the role of dark energy (DE) which is responsible for the present accelerating expansion of the Universe. Our investigation shows that such a modification of General Relativity (GR) admits a stable critical point corresponding to the late time accelerated expansion of the Universe. Assuming both dark matter (DM) and an ultra-relativistic perfect fluid (radiation) as the cosmic ingredients, we find that the underlying model presents a viable sequence of cosmic evolution, beginning from radiation dominated era passing then through DM domination and finally reaches the late time DE dominated era. Moreover, taking into account the contribution due to the spatial curvature within the total energy density leads to a growing mode for it in such a way that its present values are consistent with those reported in recent observations. We also present a numerical simulation of the model which particularizes our dynamical system representation. These studies demonstrate the ability of GRG to describe the present accelerated expansion of the Universe.