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.     

Conformally Steckel metrics in Einstein spaces

Anisotropic conformally Steckel metrics that satisfy Einstein vacuum equations containing a Λ term are examined in the paper. The metrics allow the integration of the isotropic geodetic Hamilton-Jacobi equations by complete variable separation. Tomsk State University. Translated from Izeestiya Vysshikn Uchebnykh Zavedenii, Fizika, No. 10, pp. 34–43, October, 1999.     

Geometry of dual two-dimensional nonlinear σ models

Institute of High-Current Electronics, Siberian Branch, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 84, No. 2, pp. 173–180. August, 1990.     

Wormholes in a Brane Universe

In this work, wormholes are discussed for the case where the classical brane action contains a 4-curvature. Equations of motion are obtained for R = 0 and R 0. Numerical solutions of these equations are found for special boundary conditions.     

Stackel spaces of an electrovacuum with isotropic complete sets. Formulation of problem and basic relations

We consider the problem of the classification of the Stackel spaces of the electrovacuum with isotropic complete sets. The metrics of the spaces are represented in a form that is convenient for their investigation. We obtain necessary relations for the construction of the field equations.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 17–21, May, 1987.     

Steklov-conformal two-dimensional Ricci spaces of type (3.0)

A classification is presented of Steklov-conformal metrics of the (3.0) type in Einstein spaces. These metrics allow isotropic geodesic equations to be integrated by separation of the variables in the Hamilton-Jacobi equation. Tomsk State Pedagogical University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 89–92, November, 1998.     

Extended supersymmetry and gravitational instantons

Methods of extended supersymmetry are used to construct explicitly an instanton solution of the Euclidian Einstein equations in empty space.Translated fromIzvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 18–21, June, 1989.     

Classification of conformal steckel spaces in the vaidia problem

The classification of isotropic conformal Steckel spaces satisfying a system of Einstein equations in which the right-hand side is the energy—momentum tensor of an isotropic ideal liquid is considered. The complete solution of the problem is found for the case of a conformal Steckel space admitting of one isotropic Killing vector field and two Killing tensor fields, when these objects form a complete set. Tomsk State University. Tomsk State Pedagogical University. Institute of High-Power Electronics, Siberian Branch, Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 48–53, August, 1996.