Equivalence Principle for Massive Bodies. II. Theory

1968/05/25 by Kenneth Nordtvedt · 13 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #Black Holes and Theoretical Physics

paper · doi:10.1103/physrev.169.1017

Abstract

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 \fracm_gm_i=1 is obtained, and we reobtain the result that \fracm_gm_i=1 in Einstein's theory for massive objects with time-independent internal structure. But it is shown that a measurement of \fracm_gm_i 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 \fracm_gm_i differs from 1 by a term of the order of the massive body's gravitational self-energy divided by its total energy.

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