General Relativity and Gravitation

, Volume 7, Issue 8, pp 623–641 | Cite as

Equations of motion in Rosen's bimetric theory of gravitation

  • Mark Israelit
Research Articles

Abstract

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.

Keywords

Rosen Differential Geometry Weak Field Spherical Body Mutual Distance 

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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • Mark Israelit
    • 1
  1. 1.Department of PhysicsTechnion-Israel Institute of TechnologyHaifaIsrael

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