Eur. Phys. J. A (2018) 54: 26
https://doi.org/10.1140/epja/i2018-12456-y

Regular Article - Theoretical Physics

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

¹ Saha Institute of Nuclear Physics, HBNI, 1/AF Bidhannagar, 700064, Kolkata, India
² Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, 411007, Ganeshkhind, Pune, India
³ LPC/ENSICAEN, 6 Boulevard Marechal Juin, 14050, Caen, France

^* e-mail: debades.bandyopadhyay@saha.ac.in

Received: 24 July 2017
Accepted: 6 December 2017
Published online: 20 February 2018

Abstract

We investigate the impact of strange-matter equations of state involving hyperons, Bose-Einstein condensate of 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 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 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.