Universal Relations For Generic Family Of Neutron Star Equations Of State

TL;DR

This paper investigates the robustness of universal I-Love-Q relations across a broad family of neutron star equations of state, confirming their relative stability despite significant EoS variations.

Contribution

It demonstrates that the I-Love-Q universal relations hold for a generic family of neutron star equations of state within certain tolerance limits.

Findings

Universal relations are relatively stable across diverse EoS.

Deviations occur when EoS significantly differ from the original set.

Universal relations can aid in understanding neutron star properties despite EoS uncertainties.

Abstract

Universal relations are important in testing many theories of physics. In the case of general relativity, we have the celebrated no-hair theorem for black holes. Unfortunately, the other compact stars, like neutron stars and white dwarfs, do not have such universal relation. However, neutron stars (and quark stars) have recently been found to follow certain universality, the I-Love-Q relations. These relations can provide a greater understanding of the structural and macro properties of compact astrophysical objects with knowledge of any one of the observables. The reason behind this is the lack of sensitivity to the relations with the equation of state of matter. In our present work, we have investigated the consistency of universal relations for a generic family of equations of state, which follows all the recent astrophysical constraints. Although the spread in the EoS is significant the universal nature of the trio holds relatively well up to a certain tolerance limit. The deviation from universality is seen to cross the tolerance limit with EoS, which is characteristically different from the original set.