Equivalence Principle for Massive Bodies Including Rotational Energy and Radiation Pressure

K. Nordtvedt, Jr.
Phys. Rev. 180, 1293 – Published 25 April 1969
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Abstract

The Einstein gravitational theory and the Brans-Dicke gravitational theory are investigated for the gravitational-to-inertial mass ratio (mgmi) 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 mgmi=1 for the massive systems. It is found that mgmi1 for a nonrotating star in the Brans-Dicke theory. The violation is of order 106 for the Sun. In the Brans-Dicke theory there are also contributions to mgmi1 due to the radiation content of a star. This violation is of order (radiation energy)/(stellar mass), yielding a correction of about 108 for the Sun.

  • Received 17 October 1968

DOI:https://doi.org/10.1103/PhysRev.180.1293

©1969 American Physical Society

Authors & Affiliations

K. Nordtvedt, Jr.

  • Bozeman, Montana 59715

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Issue

Vol. 180, Iss. 5 — April 1969

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