Metric of a Slow Rotating Body with Quadrupole Moment from the   Erez-Rosen Metric
  A metric representing a slowly rotating object with quadrupole moment is obtained using a perturbation method to include rotation into the weak limit of the Erez-Rosen metric. This metric is intended to tackle relativistic astrometry and gravitational lensing problems in which a quadrupole moment has to be taken into account. 
Francisco Frutos-Alfaro, Edwin Retana-Montenegro, Iv\'an   Cordero-Garc\'ia, and Javier Bonatti Gonz\'alez
astro-ph.CO gr-qc