Phase-space analysis of an Einstein-Gauss-Bonnet scalar field cosmology

Understand

We perform a detailed study of the phase-space of the field equations of an Einstein-Gauss-Bonnet scalar field cosmology for a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker spacetime.

• For the scalar field potential, we consider the exponential function.
• In contrast, for the coupling function of the scalar field with the Gauss-Bonnet term, we assume two cases, the exponential function and the power-law function.
• We write the field equations in dimensionless variables and study the equilibrium points using Poincare variables.