58 citations · 203 across the 21 of their papers we have counts for
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Comments on the article "M.O. Katanaev, Complete separation of variables in the geodesic Hamilton-Jacobi equation in four dimensions, Physica Scripta (2023), 98, 104001"
V. V. Obukhov, K. E. Osetrin, A. V. Shapovalov
The present note is a feedback on the article by M.O. Katanaev in "Physica Scripta" (2023, 98, 104001), where, in our opinion, a distorted view of the classical theory of separatio…
An exact model of a gravitational wave in the Bianchi III universe based on Shapovalov II wave spacetime and the quadratic theory of gravity
Konstantin Osetrin, Ilya Kirnos, Evgeny Osetrin
Exact models of primordial gravitational waves in the Bianchi type III universe are constructed on the basis of the quadratic theory of gravity with a scalar field and pure radiati…
Type I Shapovalov wave spacetimes in the Brans-Dicke scalar-tensor theory of gravity
Konstantin Osetrin, Altair Filippov, Ilya Kirnos +1
Exact solutions for Shapovalov wave spacetimes of type I in the scalar-tensor theory of gravity of Brans-Dicke are constructed. Shapovalov's wave spacetimes describe gravitational-…
Quadratic theory of gravity with a scalar field and type I Shapovalov wave spacetimes
Konstantin Osetrin, Ilya Kirnos, Altair Filippov
For the quadratic theory of gravity with a scalar field, exact solutions are found for gravitational-wave models in Shapovalov~I~type spacetimes, which do not arise in models of th…
Gravitational Waves of Type III Shapovalov Spacetimes: Particle Trajectories, Geodesic Deviation and Tidal Accelerations
Konstantin Osetrin, Evgeny Osetrin, Elena Osetrina
For gravitational-wave spacetimes of Shapovalov type III, exact general solutions of geodesic deviation equations and equations of motion of test particles are obtained. Solutions…
Deviation of geodesics and particle trajectories in a gravitational wave of the Bianchi type VI universe
Konstantin Osetrin, Evgeny Osetrin, Elena Osetrina
For the Bianchi type VI universe, exact solutions of the equation of geodesic deviation in a strong primordial gravitational wave in a privileged coordinate system are obtained. Th…
Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations
Konstantin Osetrin, Evgeny Osetrin, Elena Osetrina
For the gravitational wave model based on the type III Shapovalov wave space-time, test particle trajectories and the exact solution of geodesic deviation equations for the Bianchi…
Exact models of pure radiation in R^2 gravity for spatially homogeneous Shapovalov spacetimes type II
Konstantin Osetrin, Altair Filippov, Evgeny Osetrin
Presented are exactly integrable models with pure radiation in R^2 gravity with a cosmological constant, related to wave-like Shapovalov spacetimes type II. Spatially homogeneous m…
Shapovalov wave-like spacetimes
Konstantin Osetrin, Evgeny Osetrin
A complete classification of space-time models is presented, which admit the privileged coordinate systems, where the Hamilton-Jacobi equation for a test particle is integrated by…
Wave-like spatially homogeneous models of Stackel spacetimes (2.1) type in the scalar-tensor theory of gravity
K. Osetrin, A. Filippov, E. Osetrin
Six exact solutions are obtained in the general scalar-tensor theory of gravity related to spatially homogeneous wave-like models of the Universe. Wave-like space-time models allow…
Wave-like spatially homogeneous models of Stackel spacetimes (3.1) type in the scalar-tensor theory of gravity
Evgeny Osetrin, Konstantin Osetrin, Altair Filippov +1
All classes of spatially homogeneous space-time models in the generalized scalar-tensor theory of gravity are found that allow the integration of the equations of motion of test pa…
Spatially homogeneous conformal Stäckel spacetimes of type (3.1)
Konstantin Osetrin, Evgeniy Osetrin, Altair Filippov
In this work, we obtain all spatially homogeneous space-time models related to the intersection of the set of Stäckel spaces of type (2.1) and the set of conformally Stäckel spaces…
The space-time models with dust matter that admit separation of variables in Hamilton-Jacobi equations of a test particle
Konstantin Osetrin, Altair Filippov, Evgeny Osetrin
The characteristics of dust matter in space-time models, admitting the existence of privilege coordinate systems are given, where the single-particle Hamilton-Jacobi equation can b…
Cosmological models with the spinor and non-minimally interacting scalar field
K. E. Osetrin, A. N. Makarenko, Yu. A. Rybalov
The solution to the current extending Universe problem, and the description of all stages of evolution compels scientists to consider various cosmological models. Scalar - tensor m…
Conformally-flat Stackel spaces in Brans-Dicke theory
V. V. Obukhov, K. E. Osetrin, A. E. Filippov +1
The classification problem for conformally-flat space-times that admit a separation of variables in the Hamilton-Jacobi equation of the scalar-tensor Brans-Dicke theory of gravity…
Variables separation in gravity
Valery V. Obukhov, Konstantin E. Osetrin
To solve the problem of exact integration of the field equations or equations of motion of matter in curved spacetimes one can use a class of Riemannian metrics for which the simpl…
Kantowski-Sachs Brane Cosmology
A. N. Makarenko, V. V. Obukhov, K. E. Osetrin
We consider brane Kantowski-Sachs Universe when bulk space is five-dimensional Anti-deSitter space. The corresponding cosmological equations with perfect fluid are written. For sev…
Dilatonic Quantum-Induced Two-Brane Worlds
K. E. Osetrin
The 5d dilatonic gravity action with surface counterterms, motivated by the AdS/CFT correspondence and with contributions of brane quantum CFTs is considered with an AdS-like bulk.…