磁化白矮星的致密星形变和普适关系
Compact star deformation and universal relationship for magnetized white dwarfs
摘要：
最近，在强磁场存在的情况下，从理论上推导出了超磁拉塞卡质量极限，以补充实验观测。在牛顿物理学的框架下，利用磁化白矮星的相对论性费米子状态方程，研究了磁化白矮星的平衡位形。哈特尔形式主义，缓慢旋转的恒星，已被用来获得平衡方程。在这种形式下计算了均匀旋转和非旋转的白矮星的各种物理量。因此，我们研究了这种磁化白矮星的转动惯量（I）、转动勒夫数（$λ$）和自旋诱导四极矩（Q）之间的普适关系，即I-Love-Q关系。导出了I、偏心率与Q的关系式，即I-偏心率-Q关系式。此外，我们还发现，与I-Love-Q关系相比，I-eccentricity-Q关系更具有普遍性。
英文摘要：
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($λ$) 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.
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