Integrable modified gravity cosmological models with an additional scalar field

We consider modified gravity cosmological models that can be transformed into two-field chiral cosmological models by the conformal metric transformation. For the \(R^2\) gravity model with an additional scalar field and the corresponding two-field model with the cosmological constant and nonstandar...

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Bibliographic Details
Published in:arXiv.org 2021-10
Main Authors: Ivanov, Vsevolod R, Sergey Yu Vernov
Format: Article
Language:English
Subjects:
Astronomical models
Cosmological constant
Cosmology
Scalars
Online Access:Get full text
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Summary:We consider modified gravity cosmological models that can be transformed into two-field chiral cosmological models by the conformal metric transformation. For the \(R^2\) 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.
ISSN:2331-8422
DOI:10.48550/arxiv.2108.10276