Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling

Abstract

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 $n_s$ and the amplitude of the scalar perturbations $A_s$ and different values of the tensor-to-scalar ratio $r$.

11 pages, 5 figures, v2: minor corrections, references are added, to appear in EPJC

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Cited by in corpus (17)

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• Analytic extensions of Starobinsky model of inflation
• Primordial Gravitational Waves Predictions for GW170817-compatible Einstein-Gauss-Bonnet Theory
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• Bottom-Up Reconstruction of Viable GW170817 Compatible Einstein-Gauss-Bonnet Theories
• New slow-roll approximations for inflation in Einstein-Gauss-Bonnet gravity
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• $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background
• Reconstructing ACT-compatible and GW170817-compatible Einstein-Gauss-Bonnet Inflation from the Observational Indices