Geodesics in the linearized multipole solution: Distinguishing black
  holes from naked singularities
  We analyze the behaviour of geodesic motion of test particles in the
spacetime of a specific class of axially symmetric static vacuum solutions to
the Einstein equations, hereafter referred to as linearized multipole solution
(LM). We discuss about its suitability to describe a quasi-spherical spacetime.
The existence of an ISCO (innermost stable circular orbit) very close to the
(singular) horizon of the source, is established. The existence of such stable
orbit, inner than the one of the Schwarzschild metric, as well as the
appearance of a splitting in the admissible region of circular orbits, is shown
to be due to the multipole structure of the solution, thereby providing
additional potential observational evidence for distinguishing Schwarzschild
black holes from naked singularities.
