Autonomous Dynamical System Approach for Inflationary Gauss-Bonnet Modified Gravity

Understand

In this paper we shall analyze the $f(\mathcal{G})$ gravity phase space, in the case that the corresponding dynamical system is autonomous.

• In order to make the dynamical system autonomous, we shall appropriately choose the independent variables, and we shall analyze the evolution of the variables numerically, emphasizing on the inflationary attractors.
• As we demonstrate, the dynamical system has only one de Sitter fixed point, which is unstable, with the instability being traced in one of the independent variables.
• This result holds true both in the presence and in the absence of matter and radiation perfect fluids.