A numerical study of approximate metrics with quadrupole moment
arXiv:1712.00626
Abstract
Recently, spacetimes described by metrics with three parameters (mass, rotation and small quadrupole moment) was found, and in this paper, null geodesics for these metrics are calculated and visualized. Light scattering, as well as the role that the quadrupole moment plays in deforming these kinds of spacetimes are studied. This is a new application of a symbolic--numeric program that we previously used to study the Bonnor metric.
In J. Trejos (Chair), XX International Symposium on Mathematical Methods Applied to the Sciences, CIMPA, University of Costa Rica, 2016