Comments on the scalartensor theory
Abstract
Scalartensor theories are discussed as encompassing three classical longrange fields, including the electromagnetic field. In order to shed additional light on the restrictive assumptions made by Dicke concerning the coupling of the scalar field with matter, the ponderomotive laws of a scalartensor theory are constructed free of approximations in the form of integral laws. The integrals are extended over two and threedimensional domains that lie entirely in empty space but surround the regions containing matter; as for the latter, the vacuum field equations are not required to hold, but no further assumptions are made. It turns out that the gradient of the incident scalar field will contribute to the rate of change of the mass and linear momentum of a ‘particle’ an amount proportional to that particle's scalarfield source strength, which in turn is an arbitrary function of time, unless Dicke's special restriction is imposed. To this extent the motion of a test particle is indeterminate, contrary to experience.
 Publication:

International Journal of Theoretical Physics
 Pub Date:
 May 1968
 DOI:
 10.1007/BF00668828
 Bibcode:
 1968IJTP....1...25B