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Recently super-Chandrasekhar mass limit has been derived theoretically inpresence of strong magnetic field to complement experimental observations. Inthe framework of Newtonian physics, we have studied the equilibriumconfigurations of such magnetized white dwarfs by using the relativisticThomas-Fermi equation of state for magnetized white-dwarfs. Hartle formalism,for slowly rotating stars, has been employed to obtain the equations ofequilibrium. Various physical quantities of uniformly rotating and non-rotatingwhite dwarfs have been calculated within this formalism. Consequently, theuniversality relationship between the moment of inertia(I), rotational lovenumber($\lambda$) and spin induced quadrupole moment(Q), namely the I-Love-Qrelationship, has been investigated for such magnetized white dwarfs. Therelationship between I, eccentricity and Q i.e. I-eccentricity-Q relationshiphas also been derived. Further, we have found that, the I-eccentricity-Qrelationship is more universal in comparison to I-Love-Q relationship.

Compact star deformation and universal relationship for magnetized white dwarfs