相对论性恒星二阶矩的极限情况及其普适性
Limiting cases of second-order moments of relativistic stars and their universality
AI总结：
该研究扩展了相关研讨会工作，探讨相对论性恒星转动惯量、潮汐形变等二阶矩的极限情况，以长度尺度层级为关键研究其普适性，分析刚性极限与弱场极限的形式及相对论与牛顿计算的关联。
AI中文摘要：
扩展研讨会“从夸克到中子星：千赫兹引力波的启示”中提出的工作，我们讨论相对论性恒星的转动惯量、潮汐形变以及自旋诱导四极矩的一些极限情况。首先，推测长度尺度的层级是这些二阶矩之间拟议普适性的关键，我们重新研究不可压缩相对论性恒星（即著名的史瓦西内部解）的关系，将其作为可能的刚性极限候选。其次，我们给出弱场极限的极限形式，特别地，我们展示潮汐形变的相对论计算如何与传统牛顿对应物相关联，这一点可能在文献中未被明确呈现。
英文摘要：
Extending the work presented in a workshop ``From Quarks to Neutron Stars: Insights from kHz gravitational waves'', we discuss some limiting cases of the moment of inertia, tidal deformability, and spin-induced quadrupole moment for relativistic stars. First, conjecturing that a hierarchy of the length scale is the key to proposed universality among these second-order moments, we revisit the relation for incompressible relativistic stars (known as Schwarzschild's interior solution) as a candidate of the possible stiff limit. Second, we present the limiting form for the weak-field limit. In particular, we demonstrate how relativistic computations of tidal deformation are related to the traditional Newtonian counterpart, which might not have been presented explicitly in the literature.
