Equivalence Principle for Massive Bodies Including Rotational Energy and Radiation Pressure
Abstract
The Einstein gravitational theory and the BransDicke gravitational theory are investigated for the gravitationaltoinertial mass ratio (m_{g}m_{i}) they yield for massive systems. We examine models for stars in equilibrium but undergoing rotation or containing electromagnetic radiation. General conditions on the spacetime metric of many mass sources are obtained which lead to m_{g}m_{i}=1 for the massive systems. It is found that m_{g}m_{i}≠1 for a nonrotating star in the BransDicke theory. The violation is of order 10^{6} for the Sun. In the BransDicke theory there are also contributions to m_{g}m_{i}≠1 due to the radiation content of a star. This violation is of order (radiation energy)/(stellar mass), yielding a correction of about 10^{8} for the Sun.
 Publication:

Physical Review
 Pub Date:
 April 1969
 DOI:
 10.1103/PhysRev.180.1293
 Bibcode:
 1969PhRv..180.1293N