Regular Article - Theoretical Physics
Construction of inflationary scenarios with the Gauss–Bonnet term and nonminimal coupling
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Leninskie Gory 1, 119991, Moscow, Russia
Accepted: 8 July 2021
Published online: 20 July 2021
Inflationary models with a scalar field nonminimally coupled both with the Ricci scalar and with the Gauss–Bonnet term are studied. We propose the way of generalization of inflationary scenarios with the Gauss–Bonnet term and a scalar field minimally coupled with the Ricci scalar to the corresponding scenarios with a scalar field nonminimally coupled with the Ricci scalar. Using the effective potential, we construct a set of models with the same values of the scalar spectral index and the amplitude of the scalar perturbations and different values of the tensor-to-scalar ratio r.
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