Reconstruction of GR cosmological solutions in modified gravity theories

Abstract

We study the special class of the exact solutions in cosmological models based on the Generalized Scalar-Tensor Gravity with non-minimal coupling of a scalar field to the Ricci scalar and to the Gauss-Bonnet scalar in 4D Friedmann universe corresponding to similar ones in GR. The parameters of cosmological perturbations in such models correspond to the case of Einstein gravity with a high precision. As the example of proposed approach, we obtain the exact solutions for the power-law and exponential power-law inflation.

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Cited by in corpus (5)

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• Study of Goldstone Inflation in the domain of Einstein-Gauss-Bonnet gravity
• Generalized scalar-tensor theory of gravity reconstruction from physical potentials of a scalar field
• New method of exponential potentials reconstruction based on given scale factor in phantonical two-field models