Universal relationship for magnetized white dwarfs
Variable Energy Cyclotron Centre, 1/AF Bidhan Nagar, 700064, Kolkata, India
2 Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, 400085, Mumbai, India
3 National Institute of Technology, 620015, Tiruchirappalli, Tamil Nadu, India
Accepted: 21 April 2021
Published online: 29 April 2021
Recently, super-Chandrasekhar mass limit has been derived theoretically in the presence of strong magnetic field to complement experimental observations. In the framework of Newtonian physics, we have studied the equilibrium configurations of such magnetized white dwarfs by using the relativistic Thomas–Fermi equation of state for magnetized white dwarfs. Hartle formalism, for slowly rotating stars, has been employed to obtain the equations of equilibrium. Various physical quantities of uniformly rotating and non-rotating white dwarfs have been calculated within this formalism. Consequently, the universality relationship between the moment of inertia (I), rotational Love number() and spin-induced quadrupole moment(Q), namely the I–Love–Q relationship, has been investigated for such magnetized white dwarfs. The relationship between I, eccentricity and Q, i.e., I–eccentricity–Q relationship, has also been derived. Further, we have found that the I–eccentricity–Q relationship is more universal in comparison with I–Love–Q relationship.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021