Abstract
Generally, when modeling non-rotating neutron stars, assumptions of perfect spherical symmetry is made; however, this assumption is not correct if the interior composition of the star is described by an anisotropic equation of state. Due to extremely high magnetic fields, magnetars and/or neutron stars that contain color-superconducting quark matter cores can exhibit such anisotropies. Recent publications on models of the global structure of highly magnetized neutron stars indicate that these objects can be deformed making them either oblate or prolate spheroids. Due to these deformations, the gravitational quadrupole moment is expected to be non-zero resulting in a non-homogeneous mass distribution in either the equatorial or polar directions, thus resulting in different masses from the spherical case. In this work, we examine this inhomogeneity by calculating the gravitational mass quadrupole moment of non-rotating deformed neutron stars in the framework of general relativity and investigate any changes from traditional spherical models.
Published Version
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