旋转中子星的形状偏心率与转动惯量之间的一种紧致普适关系
A tight universal relation between the shape eccentricity and the moment of inertia for rotating neutron stars
AI总结：
本文提出旋转中子星偏心率、半径与转动惯量之间的新普适关系，验证其在普通中子星和裸夸克星上的高精度，并可用于快速旋转情形及未来X射线观测推断。
摘要：
对状态方程（EoS）不敏感的普适关系，有助于在测量中子星（NS）的整体物理量时缩小参数空间。本文揭示了一种新的普适关系，它将旋转中子星的偏心率与其半径和转动惯量联系起来。我们证明，在慢旋转近似下，该关系的普适性对普通中子星和裸夸克星（QS）均成立，不过二者遵循不同的关系：普通中子星的最大相对偏差约为1%，而裸夸克星约为0.1%。此外，我们表明，如果采用无量纲自旋来表征快速旋转中子星的转动，这种普适性仍然存在。这一新的普适关系将成为减少描述旋转中子星形状和多极矩所需参数数量的有价值工具，也可用于未来X射线观测中推断中子星的偏心率或转动惯量。
英文摘要：
Universal relations that are insensitive to the equation of state (EoS) are useful in reducing the parameter space when measuring global quantities of neutron stars (NSs). In this paper, we reveal a new universal relation that connects the eccentricity to the radius and moment of inertia of rotating NSs. We demonstrate that the universality of this relation holds for both conventional NSs and bare quark stars (QSs) in the slow rotation approximation, albeit with different relations. The maximum relative deviation is approximately $1\%$ for conventional NSs and $0.1\%$ for QSs. Additionally, we show that the universality still exists for fast-rotating NSs if we use the dimensionless spin to characterize their rotation. The new universal relation will be a valuable tool to reduce the number of parameters used to describe the shape and multipoles of rotating NSs, and it may also be used to infer the eccentricity or moment of inertia of NSs in future X-ray observations.
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