Nonvalidity of I-Love-Q Relations for Hot White Dwarf Stars

TL;DR

This paper investigates the properties of hot white dwarf stars and finds that the universal I-Love-Q relations do not hold for these stars at finite temperatures, challenging previous assumptions of their universality.

Contribution

It demonstrates that the I-Love-Q relations are not universal for hot white dwarfs at finite temperatures, using the Chandrasekhar EOS and Hartle-Thorne formalism.

Findings

I-Love-Q relations are not universal for hot white dwarfs.

Finite temperature effects break the universality of these relations.

Results challenge the applicability of I-Love-Q relations to hot white dwarf stars.

Abstract

The equilibrium configurations of uniformly rotating white dwarfs at finite temperatures are investigated, exploiting the Chandrasekhar equation of state for different isothermal cores. The Hartle-Thorne formalism is applied to construct white dwarf configurations in the framework of Newtonian physics. The equations of structure are considered in the slow rotation approximation and all basic parameters of rotating hot white dwarfs are computed to test the so-called moment of inertia, tidal Love number and quadrupole moment ($I$-Love-$Q$) relations. It is shown that even within the same equation of state the $I$-Love-$Q$ relations are not universal for white dwarfs at finite temperatures.