The Vaidya problem in conformally flat Stäckel spaces of type (1.1)

The problem of classification of conformally flat radiation spaces admitting full separation of variables in the Hamilton–Jacobi equation is considered. The Vaidya problem for conformally flat St?ckel spaces of type (1.1) has been solved; the metrics and the radiation have been found in explicit form. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 12–14, January, 2009.     

Asymptotic freedom in the theory of a scalar field interacting with quantum R2 gravitation

Conclusions We considered asymptotic freedom in R₂ gravitation interacting with N scalar fields. Numerical analysis of the beta functions showed that asymptotic freedom holds for all N; for N 500, only unstable solutions of the fixed-point equations exist.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 112–116, November, 1991.     

Metrics of Homogeneous Spaces Admitting Complete Sets of the (2.1) type

A classification of spaces admitting complete sets of integrals of motion of the (2.1) type and being spatially homogeneous has been obtained. The explicit form of metrics and Killing vectors have been found for all types of such spaces. The Bianchi classification of the spaces obtained is given.     

6D Einstein-Gauss-Bonnet cosmology

The 6D Einstein-Gauss-Bonnet gravitation is investigated in the present paper. This modification of the classical theory of relativity is of undoubted interest, because it gives the opportunity to describe with these models accelerated expansion of the Universe discovered recently. In addition, the modification naturally follows from the low-energy limit of string theory. It is demonstrated that this theory allows one to construct effectively the 4D Friedman-Robertson-Walker Universe; in this case, the additional dimensions are compactified. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 74–78, August, 2007.     

The Vaidia Equations in the Bruns-Dicke-Jordan Gravitation Theory

The equations of the scalar-tensor Bruns-Dicke-Jordan gravitation theory are studied. The field equations are rearranged into a Vaidia form by means of conformal transformation (the right-hand side of the equations has the form of the Vaidia energy-momentum tensor for radiation) depending on the scalar field. The compatibility equations for the scalar field are found in the general case for the field relations obtained. An example of solution to these equations for homogeneous spaces is given. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 43–46, May, 2005.     

Plane Gravitational Waves in Spatially-Homogeneous Models of type-(3.1) Stäckel Spaces

Russian Physics Journal - A classification is performed of the spaces with plane-wave metrics in accordance with the presence of three-dimensional subgroups of the group of space-time motion with...     

Nontrivial conformally steckel metrics in einstein spaces

All isotropic conformally Steckel metrics are derived that satisfy the Einstein vacuum equations containing a Λ term and do not reduce to the purely Steckel type. The metrics allow the integration of the Hamilton-Jacobi equation for a massless particle by complete variable separation. Tomsk State Pedagogic University. Tomsk State University. High-Current Electronics Institute, Siberian Division, Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 74–78, October, 1997.