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 …

The classification of the Stackel spaces of the electrovacuum of the type (3.0) has been
done. These spaces are invariant under the action of the three-parameter abelian group of …

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 classification of exact solutions of Maxwell vacuum equations for the case where the
electromagnetic fields and metrics of homogeneous spaces are invariant with respect to the …

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 …

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 of space …

We study the known coherent states of a quantum harmonic oscillator from the standpoint of
the originally developed noncommutative integration method for linear partial differential …

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. The …

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 …