Conformally-flat Stackel spaces in Brans-Dicke theory
V.V. Obukhov, K.E. Osetrin, A.E. Filippov, Yu.A. Rybalov
TL;DR
This paper classifies conformally-flat Stackel space-times in Brans-Dicke gravity, solves the field equations explicitly, and provides specific metric and scalar field forms, advancing understanding of scalar-tensor solutions.
Contribution
It provides a complete classification and explicit solutions for conformally-flat Stackel space-times in Brans-Dicke theory, a novel contribution to scalar-tensor gravity research.
Findings
Explicit metric tensor and scalar field forms derived.
Solutions applicable to conformally-flat Stackel space-times of type (1.1).
Enhanced understanding of scalar-tensor gravity solutions.
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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Taxonomy
TopicsCosmology and Gravitation Theories · Geophysics and Gravity Measurements · Black Holes and Theoretical Physics