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

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Abstract.

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.

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Correspondence to Debades Bandyopadhyay.

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Communicated by D. Blaschke

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Bandyopadhyay, D., Bhat, S.A., Char, P. et al. Moment of inertia, quadrupole moment, Love number of neutron star and their relations with strange-matter equations of state. Eur. Phys. J. A 54, 26 (2018). https://doi.org/10.1140/epja/i2018-12456-y

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  • DOI: https://doi.org/10.1140/epja/i2018-12456-y

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