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Phys. Rev. 169, 1017–1025 (1968)

Equivalence Principle for Massive Bodies. II. Theory

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Kenneth Nordtvedt, Jr.
Department of Physics, Montana State University, Bozeman, Montana

Received 16 October 1967; revised 18 January 1968; published in the issue dated May 1968

The acceleration of a massive body in an external field for general space-time geometrical gravitational theories is obtained. The condition on the metric is such that mg/mi=1 is obtained, and we reobtain the result that mg/mi=1 in Einstein's theory for massive objects with time-independent internal structure. But it is shown that a measurement of mg/mi for astronomical bodies would measure space-time metric components which have not been measured in other gravitational experiments. In the scalar-tensor gravitational theory due to Brans and Dicke, it is shown that mg/mi differs from 1 by a term of the order of the massive body's gravitational self-energy divided by its total energy.

© 1968 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRev.169.1017
DOI:
10.1103/PhysRev.169.1017
PACS:

See Also

See Also: Kenneth Nordtvedt, Equivalence Principle for Massive Bodies. I. Phenomenology, Phys. Rev. 169, 1014 (1968).