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Phys. Rev. 180, 1293–1298 (1969)

Equivalence Principle for Massive Bodies Including Rotational Energy and Radiation Pressure

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K. Nordtvedt, Jr.
Bozeman, Montana 59715

Received 17 October 1968; revised 11 December 1968; published in the issue dated April 1969

The Einstein gravitational theory and the Brans-Dicke gravitational theory are investigated for the gravitational-to-inertial mass ratio (mg/mi) they yield for massive systems. We examine models for stars in equilibrium but undergoing rotation or containing electromagnetic radiation. General conditions on the space-time metric of many mass sources are obtained which lead to mg/mi=1 for the massive systems. It is found that mg/mi1 for a nonrotating star in the Brans-Dicke theory. The violation is of order 10-6 for the Sun. In the Brans-Dicke theory there are also contributions to mg/mi1 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.

© 1969 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRev.180.1293
DOI:
10.1103/PhysRev.180.1293
PACS: