28 citations · 109 across the 8 of their papers we have counts for
10 papers
Exact solutions of Maxwell vacuum equations in null homogeneous Petrov spaces with solvable motions groups
V. V. Obukhov
Null homogeneous Petrov spaces are considered. The geometry of is determined by the geometry of the three-dimensional homogeneous Riemannian space , w…
Exact solutions of Maxwell vacuum equations in null homogeneous Petrov spaces with non-solvable motions groups
V. V. Obukhov
A complete classification of exact solutions of Maxwell vacuum equations for invariant electromagnetic fields in null homogeneous Petrov spaces with unsolvable groups of motions $G…
Classification of Petrov Homogeneous Spaces
V. V. Obukhov
In this paper the final stage of the Petrov classification is carried out. As it is known, the Killing vector fields specify infinitesimal transformations of the group of motions o…
Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in space-time with simply transitive four-parameter groups of motions
V. V. Obukhov
Metric components of potentials of admissible electromagnetic fields in spaces with simply transitive four-parameter motion group are found. The components of frame vectors corresp…
Exact solutions of Maxwell equations in homogeneous spaces with the group of motions
V. V. Obukhov
The problem of classification of exact solutions of Maxwell's vacuum equations for admissible electromagnetic fields and homogeneous space-time with the group of motions $G_3(VIII)…
Exact solutions of Maxwell equations in homogeneous spaces with group of motions
V. V. Obukhov
The classification of exact solutions of Maxwell vacuum equations for the case when the electromagnetic fields and metrics of homogeneous spaces are invariant with respect to the m…
Algebras of integrals of motion for the Hamilton-Jacobi and Klein-Gordon-Fock equations in spacetime with a four-parameter groups of motions in the presence of an external electromagnetic field
V. V. Obukhov
The algebras of the integrals of motion of the Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle moving in an external electromagnetic field in a spacetim…
Separation of variables in Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in the Stackel spaces of type (1.1)
V. V. Obukhov
All equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces, provided that Hamilton-Jacobi equation and Klein-Gordon-Fock equation for a charged…
Separation of variables in Hamilton-Jacobi equation for a charged test particle in the Stackel spaces of type (2.1)
Valeriy Obukhov
Found all equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces, provided that the equations of motion of the classical charged test particles…
Separation of variables in Hamilton-Jacobi equation for a charged test particle in the Stackel spaces of type (2.0)
Valeriy Obukhov
Found all equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces, provided that the equations of motion of the classical charged test particles…