Moment of Inertia, Quadrupole Moment, Love Number of Neutron Star and Their Relations with Strange-Matter Equations of State

We investigate the impact of strange-matter equations of state involving \(\Lambda\) hyperons, Bose-Einstein condensate of \( K^{-}\) mesons and first-order hadron-quark phase transition on moment of inertia, quadrupole moment and tidal deformability parameter of slowly rotating neutron stars. All these equations of state are compatible with the 2 \( M_{solar}\) constraint. The main findings of this investigation are the universality of the I-Q and I -Love number relations, which are preserved by the EoSs including \(\Lambda\) hyperons and antikaon condensates, but broken in the presence of a first-order hadron-quark phase transition. Furthermore, it is also noted that the quadrupole moment approaches the Kerr value of a black hole for maximum-mass neutron stars.