English

Reconstruction of GR cosmological solutions in modified gravity theories

General Relativity and Quantum Cosmology 2019-07-17 v1

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.

Keywords

Cite

@article{arxiv.1903.03974,
  title  = {Reconstruction of GR cosmological solutions in modified gravity theories},
  author = {Igor V. Fomin and Sergey V. Chervon},
  journal= {arXiv preprint arXiv:1903.03974},
  year   = {2019}
}

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4 figures