arXiv subjects

V. R. Ivanov

Publications and source records attributed to V. R. Ivanov.

2 recordsLinked to original sources

arXiv2024

Integrable Cosmological Models with an Arbitrary Number of Scalar Fields

We consider cosmological models with an arbitrary number of scalar fields nonminimally coupled to gravity and construct new integrable cosmological models. In the constructed models, the Ricci scalar is an integral of motion irrespectively of the type of metric. The general solutions of evolution equations in the spatially flat FLRW metric have been found for models with the quartic potentials.

gr-qc↗

arXiv2019

Superpotential method for $F(R)$ cosmological models

We construct the $F(R)$ gravity models with exact particular solutions using the conformal transformation and the superpotential method for the corresponding models in the Einstein frame. The functions $F(R)$ are obtained explicitly. We consider exact solutions for the obtained $R^2$ gravity model with the cosmological constant in detail.

gr-qc↗