The two-body problem in Roesen's bimetric theory of gravitation.

Details The two-body problem in Roesen's bimetric theory of gravitation. The two-body problem in Roesen's bimetric theory of gravitation.

Nov 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..857i&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 11, pp.857-868

Computer Science

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This is a continuation of a previous paper, in which the field equations in successive approximations and the post-Newtonian equations of motion in Rosen's theory of gravitation were derived. In this paper the energy integral and the center of mass for an insular system with an arbitrary structure are obtained in the post-Newtonian approximation. A many-body system is considered, and in the extreme case of point bodies (particles) the center-of-mass coordinates are found to be identical with the Einsteinian ones. The two-body problem is considered. For a system of two identical neutron stars of mass 1.3M &sun; (a possible model of the Hulse-Taylor binary pulsar system) the trajectory and the perihelion precession are calculated. It is found that the expressions obtained depend on the gravitational self-energy of the stars. The relations deduced from Rosen's bimetric gravitation in the case of small velocities and weak fields are compared with those of general relativity.

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