Conformally-flat Stackel spaces in Brans-Dicke theory

Conformally-flat Stackel spaces in Brans-Dicke theory

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...

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Veröffentlicht in:arXiv.org 2009-04
Hauptverfasser: Obukhov, V V, Osetrin, K E, Filippov, A E, Rybalov, Yu A
Format: Artikel
Sprache:eng
Schlagworte:
Hamilton-Jacobi equation
Mathematical analysis
Physics - General Relativity and Quantum Cosmology
Spacetime
Tensors
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0904.2298