ИСТИНА

We construct Einstein-Gauss-Bonnet gravity models with scalar fields minimally coupled with the Ricci scalar due to the relation between derivatives of the effective potential and the spectral index. We choose models with an exponential potential considering exit from inflation and the slow-roll regime. The coupling function of the Gauss-Bonnet term with the scalar field and the potential can be expressed through the effective potential and the tensor-to-scalar ratio. So, the choice of the tensor-to-scalar ratio leads to expressions for potential and the Gauss-Bonnet coupling function. Moreover, the relation between the tensor-to-scalar ratio and the field derivatives with respect to the e-folding number allows to reconstruct the model in terms of the field. The report is based on arXiv:2105.02772, arXiv:2005.10133.