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

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 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.

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D. Bandyopadhyay, S. Bhat, P. Char, et. al.
Wed, 6 Dec 17

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