I-Eccentricity-Q Relation as the Universal Relation for Rotating Magnetized White Dwarfs

Within the formulation of Newtonian physics, equilibrium configurations of strongly magnetized white dwarfs with the magnetized Feynman-Metropolis-Teller (FMT) Equation of State (EoS) have been studied. We have obtained the equations of equilibrium using Hartle formalism to calculate different physical quantities of uniformly rotating white dwarfs. The relationship between moment of inertia (I), rotational love number ( $$\lambda $$ ) and spin induced quadrupole moment (Q), for magnetized white dwarfs has been investigated. Furthermore, it has been found that, the relationship between moment of inertia (I), eccentricity and Q, i.e., I-eccentricity-Q relation is more universal in comparison to I-Love-Q relationship.