Bertrand Chauvineau 2003 Class. Quantum Grav. 20 2617 doi:10.1088/0264-9381/20/13/311
On the limit of Brans–Dicke theory when ω → ∞
Bertrand Chauvineau
Show affiliationsWe discuss the problem of the limit of the Brans–Dicke theory (BDT) in the limit ω 
∞, when the trace of the stress tensor is not zero. It is shown that a BDT solution, with T ≠ 0, known in the framework of anisotropic cosmology, fails to converge to the general relativity theory (GRT) corresponding solution. Considering the spherically symmetric field problem, it is shown that the argument leading to the convergence in the static case is lost when the non-static case is considered. These remarks suggest that the non-convergence of BDT to GRT could be the general behaviour, even if T ≠ 0, except for some (most?) of the highly symmetric solutions, including most of the known ones. The impact on gravitational radiation detection is emphasized.
- PACS
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04.20.Cv Fundamental problems and general formalism
- MSC
- Subjects
- Dates
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Issue 13 (7 July 2003)
Received 3 January 2003, in final form 23 April 2003
Published 29 May 2003
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On the limit of Brans–Dicke theory when ω → ∞
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