Higher-order geodesic deviations applied to the Kerr metric

  title={Higher-order geodesic deviations applied to the Kerr metric},
  author={Roberto Colistete and C{\'e}dric Leygnac and Richard Kerner},
  journal={Classical and Quantum Gravity},
Starting with an exact and simple geodesic, we generate approximate geodesics by summing up higher-order geodesic deviations within a general relativistic setting, without using Newtonian and post-Newtonian approximations. We apply this method to the problem of closed orbital motion of test particles in the Kerr metric spacetime. With a simple circular orbit in the equatorial plane taken as the initial geodesic, we obtain finite eccentricity orbits in the form of Taylor series with the… 
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