Relativistic Multipoles and the Advance of the Perihelia

@article{Boisseau2002RelativisticMA,
  title={Relativistic Multipoles and the Advance of the Perihelia},
  author={Bruno Boisseau and Patricio Letelier},
  journal={General Relativity and Gravitation},
  year={2002},
  volume={34},
  pages={1077-1096}
}
In order to shed some light in the meaning of the relativistic multipolar expansions we consider different static solutions of the axially symmetric vacuum Einstein equations that in the non-relativistic limit have the same Newtonian moments. The motion of test particles orbiting around different deformed attraction centers with the same Newtonian limit is studied paying special attention to the advance of the perihelion. We find discrepancies in the fourth order of the dimensionless parameter… 
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