Equations of motion in Rosen's bimetric theory of gravitation.

Details Equations of motion in Rosen's bimetric theory of gravitation. Equations of motion in Rosen's bimetric theory of gravitation.

Aug 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..623i&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 8, pp.623-641

Physics

10

Scientific paper

The paper contains an investigation of Rosen's bimetric theory of gravitation in the case of slow velocities and weak fields. Newtonian and post-Newtonian approximations are obtained. The post-Newtonian equation of motion is integrated for an insular system of spherical bodies that move translationally at large mutual distances. It appears that the post-Newtonian law of motion obtained in this way contains terms that depend on the self-energy of the test body (a self-influence phenomenon). It is proved that also in the Einsteinian gravitation this influence is present, but it can be canceled out from the post-Newtonian law of motion if one takes into account the de Donder conditions. The self-influence discovered here seems to be a general gravitation phenomenon, which usually appears in theories of gravitation in the post-Newtonian approximation.

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