The algebras of the symmetry operators for the Hamilton–Jacobi and Klein–Gordon–Fock
equations are found for a charged test particle, moving in an external electromagnetic field …

All external electromagnetic fields in which the Klein-Gordon-Fock equation admits the first-
order symmetry operators are found, provided that in the space-time V 4 a group of motion G …

For models of gravitational waves in the Bianchi type IV universe, an exact solution of
geodesic deviation equations is obtained. The spacetime models under consideration refer …

Metric components of potentials of admissible electromagnetic fields in spaces with simply
transitive motion group G 4 are found. The components of vector tetrads corresponding to …

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 …

All electromagnetic potentials and space–time metrics of Stäckel spaces of type (2.0) in
which the Hamilton–Jacobi equation for a charged test particle can be integrated by the …

A class of exact (non-perturbative) models of strong gravitational waves based on
Shapovalov type III spacetimes and Einstein's vacuum equations is obtained. Exact …

The problem of the classification of the exact solutions to Maxwell's vacuum equations for
admissible electromagnetic fields and homogeneous space-time with the group of motions …

This paper classifies the exact solutions of the Maxwell vacuum equations for the case when
the electromagnetic fields and metrics of homogeneous spaces are invariant with respect to …

All non-equivalent solutions of vacuum Maxwell equations are found for the case when
space-time manifolds admit simply transitive four-parameter groups of motions G 4 (N). The …