Geodesies in the Erez-Rosen space-time

Details Geodesies in the Erez-Rosen space-time Geodesies in the Erez-Rosen space-time

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989gregr..21.1047q&link_type=abstract

General Relativity and Gravitation, Volume 21, Issue 10, pp.1047-1072

Physics

9

Scientific paper

We investigate null and time-like geodesics in the Erez-Rosen space-time, that is, in the exterior gravitational field of a mass with quadrupole moment. By using the weak-field approximation of the Erez-Rosen metric, we find the solution of the equation for equatorial time-like geodesics and determine how they differ from the corresponding Schwarzschild geodesies. For the exact form of the Erez-Rosen metric, we only draw some qualitative conclusions about the influence of the quadrupole moment on the path of test particles and on the motion of photons. We derive the relativistic contribution of the quadrupole moment to the perihelion shift and to the precession of the ascending node.

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