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 …

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 …

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 …

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 …

Exact models of primordial gravitational waves in the Bianchi type-III universe were
constructed on the basis of the quadratic theory of gravity with a scalar field and pure …

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 …

For the strong gravitational wave model, an explicit transformation is obtained from a
privileged coordinate system with a wave variable to a synchronous reference frame with …

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 …

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 …