58 citations · 203 across the 21 of their papers we have counts for
21 papers
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…