Mach's Principle and Invariance under Transformation of Units
Abstract
A gravitational theory compatible with Mach's principle was published recently by Brans and Dicke. It is characterized by a gravitational field of the Jordan type, tensor plus scalar field. It is shown here that a coordinatedependent transformation of the units of measure can be used to throw the theory into a form for which the gravitational field appears in the conventional form, as a metric tensor, such that the Einstein field equation is satisfied. The scalar field appears then as a "matter field" in the theory. The invariance of physical laws under coordinatedependent transformations of units is discussed.
 Publication:

Physical Review
 Pub Date:
 March 1962
 DOI:
 10.1103/PhysRev.125.2163
 Bibcode:
 1962PhRv..125.2163D