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