Scale Invariance of the Second Kind and the Brans-Dicke Scalar-Tensor Theory

Details Scale Invariance of the Second Kind and the Brans-Dicke Scalar-Tensor Theory Scale Invariance of the Second Kind and the Brans-Dicke Scalar-Tensor Theory

Apr 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971phrvd...3.1689a&link_type=abstract

Physical Review D, vol. 3, Issue 8, pp. 1689-1691

Physics

25

Scientific paper

Invariance of the Brans-Dicke scalar-tensor theory of gravity under scale transformations of the second kind is discussed. It is shown that the requirement of scale invariance of the second kind leads to the unique value -32 of the adjustable parameter ω in the Brans-Dicke theory. It is further shown that, in order to obtain a consistent set of equations, matter must be coupled to the scalar-tensor field in such a way that the whole theory can be transformed into the usual Einstein tensor theory. This is accomplished by performing a space-time dependent scale change such that the transformed scalar field is everywhere a constant.

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