On the stability of de Sitter inflationary solution in the Starobinsky-Bel-Robinson gravity

TL;DR

This paper derives a de Sitter inflationary solution in Starobinsky-Bel-Robinson gravity and analyzes its stability using dynamical systems to determine its relevance for early or late universe phases.

Contribution

It introduces a method to derive and analyze the stability of de Sitter solutions in a modified gravity model, specifically the Starobinsky-Bel-Robinson gravity.

Findings

The de Sitter solution can be derived within this gravity model.

Stability analysis indicates which universe phase the solution is suitable for.

The results help distinguish early inflationary or late-time acceleration scenarios.

Abstract

We will present the way to derive a de Sitter inflationary solution within the so-called Starobinsky-Bel-Robinson gravity. Then, we will show by using the dynamical system method whether the obtained solution is stable or not. According to the stability of the de Sitter inflationary solution, we could judge which phase of our universe, among the two early and late-time phases, is more appropriate for this solution.