Quadrupole Moments of Rotating Neutron Stars

A rotating stars oblateness creates a deformation in the gravitational field outside the star,which is measured by the quadrupole-moment tensor. In this work we make corrections to certain previous calculations of quadrupole moments of rotating neutron stars in the literature. We propose an EOS(equation of state) independent empirical relation for the quadrupole moment of rotating neutron stars. A quadrupole moment maximizing EOS is proposed and a formula found for the limit set by causality on the quadrupole moment of a star of fixed gravitational mass.