Conformally-flat Stackel spaces in Brans-Dicke theory
General Relativity and Quantum Cosmology
2009-07-24 v1
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.
Cite
@article{arxiv.0904.2298,
title = {Conformally-flat Stackel spaces in Brans-Dicke theory},
author = {V. V. Obukhov and K. E. Osetrin and A. E. Filippov and Yu. A. Rybalov},
journal= {arXiv preprint arXiv:0904.2298},
year = {2009}
}