Quasiuniversal relations for generalized Skyrme stars

First proposed in 2013 by Yagi and Yunes, the quasiuniversal I-Love-Q relations consist of a set of relations between the moment of inertia, the spin-induced quadrupole moment and the electric quadrupolar tidal deformability of neutron stars which arc independent of the equation of state within an accuracy of similar to 1%. In this work, we show that these relations hold for different Skyrme-based nuclear matter equation of state and also for the starlike solutions of different Einstein-BPS-Skyrme models - where BPS stands for Bogomolnyi-Prasad-Sommerfield, some of which do not even present a barotropic equation of state. Further, other quasiuniversal relations are analyzed, and, together with recent gravitational wave observations, we use them to select the generalized Skyrme model that better reproduces observations. Our results reaffirm both the universality of the I-Love-Q relations and the suitability of generalized Skyrme models to describe nuclear matter inside neutron stars.