Equivalence Principle for Massive Bodies. II. Theory
Abstract
The acceleration of a massive body in an external field for general spacetime geometrical gravitational theories is obtained. The condition on the metric is such that m_{g}m_{i}=1 is obtained, and we reobtain the result that m_{g}m_{i}=1 in Einstein's theory for massive objects with timeindependent internal structure. But it is shown that a measurement of m_{g}m_{i} for astronomical bodies would measure spacetime metric components which have not been measured in other gravitational experiments. In the scalartensor gravitational theory due to Brans and Dicke, it is shown that m_{g}m_{i} differs from 1 by a term of the order of the massive body's gravitational selfenergy divided by its total energy.
 Publication:

Physical Review
 Pub Date:
 May 1968
 DOI:
 10.1103/PhysRev.169.1017
 Bibcode:
 1968PhRv..169.1017N