4 papers
Integrability of gravity cosmological models with radiation
Vsevolod R. Ivanov, Sergey Yu. Vernov
We consider cosmological gravity models with radiation. We find the general solution to the trace equation in the spatially flat Friedmann-Lemaitre-Robertson-Walke…
Inflationary Slow-Roll Parameters in the Jordan Frame for Cosmological F(R) Gravity Models
Vsevolod R. Ivanov
inflationary models are analyzed without the Weyl transformation to the Einstein frame. Sufficient conditions for existence of global inflationary attractors in model…
New Integrable Chiral Cosmological Models with Two Scalar Fields
Vsevolod R. Ivanov, Sergey Yu. Vernov
We construct integrable chiral cosmological models with two scalar fields and potentials represented in terms of hyperbolic functions. Using the conformal transformation of the met…
Integrable Cosmological Models with an Arbitrary Number of Scalar Fields
V. R. Ivanov, S. Yu. Vernov
We consider cosmological models with an arbitrary number of scalar fields nonminimally coupled to gravity and construct new integrable cosmological models. In the constructed model…