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

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.