论文标题
旋转中子星的质量和半径增加的普遍关系
Universal Relations for the Increase in the Mass and Radius of a Rotating Neutron Star
论文作者
论文摘要
旋转会导致中子恒星的质量和赤道半径增加。质量和半径敏感地取决于寒冷,密集物质的状态(EOS)的未知方程。但是,由于旋转而引起的质量和半径的增加几乎与EOS无关。 EOS独立性导致了中子星普遍性的想法。在本文中,我们计算具有恒定中央密度的旋转中子星的序列。我们使用随机生成的EOS的集合来构建从非旋转中子星的静水平衡方程计算出的质量和半径。校正因子仅取决于非旋转恒星的质量和半径,几乎与EOS无关。这使得在EOS推理代码中包括旋转中子星的观察在计算上便宜。我们还从旋转中子星的测得的质量和半径到相应的非旋转恒星构造了映射。如果测量了许多带有不同旋转的中子星的质量和半径,则映射使构造零旋转质量 - 拉迪乌斯曲线是可能的。 我们表明,极性和赤道半径的变化是对称的,因为极性半径以与赤道半径生长相同的速率收缩。这种对称性与观察结果有关,即赤道紧凑度(质量与半径之比)在一个恒定密度序列之一上几乎是恒定的。
Rotation causes an increase in a neutron star's mass and equatorial radius. The mass and radius depend sensitively on the unknown equation of state (EOS) of cold, dense matter. However, the increases in mass and radius due to rotation are almost independent of the EOS. The EOS independence leads to the idea of neutron star universality. In this paper, we compute sequences of rotating neutron stars with constant central density. We use a collection of randomly generated EOS to construct simple correction factors to the mass and radius computed from the equations of hydrostatic equilibrium for non-rotating neutron stars. The correction factors depend only on the non-rotating star's mass and radius and are almost independent of the EOS. This makes it computationally inexpensive to include observations of rotating neutron stars in EOS inference codes. We also construct a mapping from the measured mass and radius of a rotating neutron star to a corresponding non-rotating star. The mapping makes it possible to construct a zero-spin mass-radius curve if the masses and radii of many neutron stars with different spins are measured. We show that the changes in polar and equatorial radii are symmetric, in that the polar radius shrinks at the same rate that the equatorial radius grows. This symmetry is related to the observation that the equatorial compactness (the ratio of mass to radius) is almost constant on one of the constant-density sequences.