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1.
A classification has been obtained for spaces which admit complete sets of motion integrals of the (3.1)-type and are spatially homogeneous. The metrics and Killing vectors have been found in explicit form for all types of these spaces. A classification by Bianchi is given for the spaces obtained. 相似文献
2.
This paper deals with nonisotropic spatially homogeneous models for a self-consistent system of Einstein–Weyl equations with a spinor field. It is shown that for spaces of type III by Bianchi the system of Einstein–Weyl equations is integrable. 相似文献
3.
V. G. Bagrov A. A. Evseevich V. V. Obukhov K. E. Osetrin 《Russian Physics Journal》1987,30(12):1012-1015
A system of Einstein-Maxwell equations is integrated for the metric that generalizes the metric of a space with full set of type (1.1). This is necessary for carrying out the classification of the corresponding Stäckel electrovacuum spaces. An algebraic classification of the solutions obtained is carried out.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 17–20, December, 1987. 相似文献
4.
A complete classification of the Stekkel spaces of the electrovacuum, admitting one isotropic Killing vector field and two Killing tensor fields, is presented. All solutions of the Einstein-Maxwell equations found refer to the Petrov type N.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 79–83, October, 1988.In conclusion we note that all solutions presented above are of the Petrov type N. 相似文献
5.
Russian Physics Journal - In this work, we have obtained all spatially homogeneous space-time models related to the intersection of the set of Stäckel spaces of type (2.1) and the set of... 相似文献
6.
V. V. Obukhov K. E. Osetrin A. E. Filippov Yu. A. Rybalov 《Russian Physics Journal》2009,52(2):170-175
A problem of classification of the conformally flat St?ckel spaces admitting complete separation of variables in the Hamilton–Jacobi
equation is studied within the framework of the Brans–Dicke scalar-tensor gravitational theory. Solutions to the field equations
of the theory are found for the conformally flat St?ckel spaces of type (1.1), and explicit forms of the metric and scalar
field are presented.
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 54–58, February, 2009. 相似文献
7.
The complete classification of the null Stäckel electrovac spacetimes is realized. For these spacetimes it is possible to integrate the geodetic equations by the complete separation of variables in the Hamilton-Jacobi equation. 相似文献
8.
Classification of Stäckel electrovacuum spaces of type (2.1) is carried out. All metrics and potentials associated with the given type of spaces are obtained.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 54–56, February, 1989. 相似文献
9.
A. N. Makarenko V. V. Obukhov K. E. Osetrin A. E. Philippov 《Russian Physics Journal》2006,49(2):127-133
Conformal transformations in scalar-tensor gravitation theories are investigated in the present paper. It is demonstrated
that the field equations of these theories can be expressed in the Vaidya form. A scalar field equation is derived based on
the compatibility condition for the field equations. The conformal factor, dilaton, and restrictions on the metric are determined
for the diagonal metric of type I in the Bianchi classification.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 10–14, February, 2006. 相似文献
10.
An explicit form is found for metrics that allow integration of geodesic equations for massless particles in plane-conformal
spaces by complete separation of the variables in the Hamilton-Jacobi equations.
Tomsk University and Tomsk State Pedagogical University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No.
11, pp. 92–96, November, 1998. 相似文献