English

Integrable modified gravity cosmological models with an additional scalar field

General Relativity and Quantum Cosmology 2021-11-11 v2 Cosmology and Nongalactic Astrophysics Mathematical Physics math.MP

Abstract

We consider modified gravity cosmological models that can be transformed into two-field chiral cosmological models by the conformal metric transformation. For the R2R^2 gravity model with an additional scalar field and the corresponding two-field model with the cosmological constant and nonstandard kinetic part of the action, the general solutions have been obtained in the spatially flat FLRW metric. We analyze the correspondence of the cosmic time solutions obtained and different possible evolutions of the Hubble parameters in the Einstein and Jordan frames.

Keywords

Cite

@article{arxiv.2108.10276,
  title  = {Integrable modified gravity cosmological models with an additional scalar field},
  author = {Vsevolod R. Ivanov and Sergey Yu. Vernov},
  journal= {arXiv preprint arXiv:2108.10276},
  year   = {2021}
}

Comments

11 pages, 3 figures, v2: minor corrections, references are added, to appear in EPJC

R2 v1 2026-06-24T05:21:12.878Z