Metric of a Slow Rotating Body with Quadrupole Moment from the Erez-Rosen Metric
arXiv:1209.6126 · doi:10.4236/ijaa.2013.34051
Abstract
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.