De Sitter Solutions in Einstein–Gauss–Bonnet Gravity

De Sitter solutions play an important role in cosmology because the knowledge of unstable de can be useful to describe inflation, whereas stable are often used models late-time acceleration Universe. The Einstein–Gauss–Bonnet gravity cosmological actively both as inflationary and dark energy models. To modify Einstein equations one add a nonlinear function Gauss–Bonnet term or scalar field multiplied on term. effective potential method essentially simplifies search stability analysis solutions, correspond minima potential.