Global dynamics in Einstein-Gauss-Bonnet scalar field cosmology with matter

Understand

We study the dynamics of the field equations in a four-dimensional isotropic and homogeneous spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker geometry in the context of Einstein-Gauss-Bonnet theory with a matter source and a scalar field coupled to the Gauss-Bonnet scalar.

• In this theory, the Gauss-Bonnet term contributes to the field equations.
• The mass of the scalar field depends on the potential function and the Gauss-Bonnet term.
• For the scalar field potential, we consider the exponential function and the coupling function between the scalar field and the Gauss-Bonnet scalar is considered to be the linear function.