标题： 致密星变形和磁化白矮星的普适关系 显示英文标题

标题： Compact star deformation and universal relationship for magnetized white dwarfs

摘要： 最近，在强磁场存在的条件下，理论上得出了超钱德拉塞卡质量限制以补充实验观测。在牛顿物理学的框架内，我们通过使用磁化白矮星的相对论托马斯-费米状态方程，研究了此类磁化白矮星的平衡构型。为了获得平衡方程，采用了针对缓慢旋转恒星的哈特尔形式主义。在此形式主义内计算了均匀旋转和非旋转白矮星的各种物理量。因此，研究了此类磁化白矮星的转动惯量（I）、转动爱里数（$\lambda$）和自旋诱导四极矩（Q）之间的普遍关系，即I-Love-Q关系。还推导出了转动惯量（I）、偏心率与四极矩（Q）之间的关系，即I-偏心率-Q关系。此外，我们发现I-偏心率-Q关系比I-Love-Q关系更为普遍。 显示英文摘要

摘要： Recently super-Chandrasekhar mass limit has been derived theoretically in 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($\lambda$) 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 to I-Love-Q relationship.