68 citations · 107 across the 9 of their papers we have counts for
9 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…
Anisotropic solutions for gravity model with a scalar field
Vsevolod R. Ivanov, Sergey Yu. Vernov
We study anisotropic solutions for the pure gravity model with a scalar field in the Bianchi I metric. The evolution equations have a singularity at zero value of the Ricci s…
Analytic extensions of Starobinsky model of inflation
Vsevolod R. Ivanov, Sergei V. Ketov, Ekaterina O. Pozdeeva +1
We study several extensions of the Starobinsky model of inflation, which obey all observational constraints on the inflationary parameters, by demanding that both the inflaton scal…
Integrable modified gravity cosmological models with an additional scalar field
Vsevolod R. Ivanov, Sergey Yu. Vernov
We consider modified gravity cosmological models that can be transformed into two-field chiral cosmological models by the conformal metric transformation. For the gravity mod…
Superpotential method for cosmological models
S. Yu. Vernov, V. R. Ivanov, E. O. Pozdeeva
We construct the gravity models with exact particular solutions using the conformal transformation and the superpotential method for the corresponding models in the Einstein…
Loops, sign structures and emergent Fermi statistics in three-dimensional quantum dimer models
Vsevolod Ivanov, Yang Qi, Liang Fu
We introduce and study three-dimensional quantum dimer models with positive resonance terms. We demonstrate that their ground state wave functions exhibit a nonlocal sign structure…