ИСТИНА

We consider the Einstein-Gauss-Bonnet gravity models in different slow-roll approximations. If we introduce the Gauss-Bonnet term multiplied by a function of the scalar field, such function can be named 'Gauss-Bonnet coupling'. In the case of minimal-coupled gravity with scalar field the Gauss-Bonnet coupling and potential allow to reproduce inflationary scenarios. We study exponential type of potential and the power-low potential. One of the recent example of power-low models are models with quadratic and quartic potentials $V = V_0\phi^n$, where the Gauss-Bonnet coupling is proportional to $(V+\lambda)^{-1}$, $\lambda$ is a positive constant. At special parameter values the models do not contradict to modern observations.