Abstract
We investigate the restrictions on scalar-tensor theories of gravitation implied by the assumptions: (i) the field equations are derivable from an action principle, (ii) units of mass length and time are defined by atomic standards, and (iii) the principle of equivalence holds whenever gravitational self-energy can be neglected. We show that in all these theories the presence of gravitational energy in a system leads to violations of the principle of equivalence.
Similar content being viewed by others
References
Brans, C. and Dicke, R. H. (1961).Physical Review,124, 925.
Fierz, H. (1956).Helvetica Physica Acta,29, 128.
Ohanian, H. C. (1971).Annals of Physics (N. Y.), to be published.
Nordvedt, K., Jr. (1969).Physical Review,180, 1293.
Schiff, L. I. (1959).Proceedings of the National Academy of Sciences,45, 69.
Schwinger, J. (1970).Particles, Sources and Fields, pp. 378–392. Addison-Wesley Publishing Company, Inc., Reading, Massachusetts.
Thorne, K. S. and Will, C. M. (1970).Comments on Astrophysics and Space Physics,11, 35.
Wagoner, R. V. (1970).Physical Review,1D, 3209.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ohanian, H.C. Scalar-tensor theories and the principle of equivalence. Int J Theor Phys 4, 273–280 (1971). https://doi.org/10.1007/BF00674280
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00674280