28 citations · 148 across the 14 of their papers we have counts for
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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-…
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…
Wave-like exact models with symmetry of spatial homogeneity in the quadratic theory of gravity with a scalar field
K. E. Osetrin, I. V. Kirnos, E. K. Osetrin +1
Exact solutions are obtained in the quadratic theory of gravity with a scalar field for wave-like models of space-time with spatial homogeneity symmetry and allowing the integratio…
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 models of Stäckel spacetimes of type (2.1)
Evgeny Osetrin, Konstantin Osetrin, Altair Filippov
All classes of spatially homogeneous space-time models are found that allow the integration of the equations of motion of test particles and the eikonal equation by the method of c…
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…