TITLE:
Metric of a Slow Rotating Body with Quadrupole Moment from the Erez-Rosen Metric
AUTHORS:
Francisco Frutos-Alfaro, Edwin Retana-Montenegro, Iván Cordero-García, Javier Bonatti-González
KEYWORDS:
General Relativity; Einstein Field Equations; Quadrupole Moment; Erez-Rosen Metric
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.3 No.4,
December
4,
2013
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.