Moment of inertia, quadrupole moment, Love number of neutron star and their relations with strange matter equations of state

Abstract

We investigate the impact of strange matter equations of state involving $Λ$ 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 $Λ$ hyperons and antikaon condensates, but broken in 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.

8 pages, 10 figures, submitted to EPJA (July, 2017)