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arXiv · 0904.2298

Conformally-flat Stackel spaces in Brans-Dicke theory

V. V. Obukhov·K. E. Osetrin·A. E. Filippov·Yu. A. Rybalov
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Abstract

The classification problem for conformally-flat space-times that admit a separation of variables in the Hamilton-Jacobi equation of the scalar-tensor Brans-Dicke theory of gravity is examined. The field equations of the scalar-tensor theory of Brans and Dicke for conformally-flat Stackel space-times of type (1.1) are solved. An explicit form of the metric tensor and scalar field is obtained.

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V. V. Obukhov, K. E. Osetrin, A. E. Filippov, Yu. A. Rybalov. 2009-04-15. Conformally-flat Stackel spaces in Brans-Dicke theory. https://doi.org/10.1007/s11182-009-9205-8

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