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

TL;DR

This paper explores how different strange matter equations of state affect neutron star properties like moment of inertia, quadrupole moment, and Love number, revealing universal relations and deviations due to phase transitions.

Contribution

It demonstrates the universality of I-Q and I-Love relations across various EoSs, except when a hadron-quark phase transition occurs.

Findings

I-Q and I-Love relations are universal for most EoSs.

First order hadron-quark phase transition breaks the universality.

Quadrupole moment approaches Kerr black hole value at maximum mass.

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 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.