An all-purpose metric for the exterior of any kind of rotating neutron star
An all-purpose metric for the exterior of any kind of rotating neutron star
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适用于任何类型旋转中子星外部的通用度量
DOI：
10.1093/mnras/sts556
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发表时间：
2012
影响因子：
4.8
通讯作者：
T. Apostolatos
中科院分区：
文献类型：
--
作者：
G. Pappas;T. Apostolatos
我们检验了双孤子解析度规对描述所有类型中子星的外部的适当性，无论它们的状态方程或旋转速率是什么。真空爱因斯坦方程的特殊解析解证明是相当可调的，以模拟所有数值构建的中子星星模型的度规函数，我们用作测试平台。中子星星模型涵盖了大范围的刚性，关于其内部的状态方程，以及所有的旋转速率，直到每个这样的星星允许的最大可能旋转速率。除了度量函数本身，我们还比较了最内层稳定圆轨道RISCO的半径，圆测地线的轨道频率φ dφ dt，它们的周转频率φ ρ，φ z，以及每对数轨道频率φ E的圆轨道能量的变化。所有这些量都是通过双孤立子分析度规计算的，与之前的类似比较中相应的数值量具有良好的准确性（尽管之前的尝试仅限于具有高或低旋转速率的中子星星模型）。我们相信，这个特殊的解析解可以被认为是任何旋转中子星星引力场的精确解析表示，人们可以通过使用这个时空来解释发生在它周围的天体物理过程的观测来探索中子星星的内部结构。
We have tested the appropriateness of two-soliton analytic metric to describe the exterior of all types of neutron stars, no matter what their equation of state or rotation rate is. The particular analytic solution of the vacuum Einstein equations proved quite adjustable to mimic the metric functions of all numerically constructed neutron star models that we used as a testbed. The neutron star models covered a wide range of stiffness, with regard to the equation of state of their interior, and all rotation rates up to the maximum possible rotation rate allowed for each such star. Apart from the metric functions themselves, we have compared the radius of the innermost stable circular orbit RISCO, the orbital frequency � ≡ dφ dt of circular geodesics, and their epicyclic frequencies � ρ, � z, as well as the change of the energy of circular orbits per logarithmic change of orbital frequency � ˜ E. All these quantities, calculated by means of the two-soliton analytic metric, fitted with good accuracy the corresponding numerical ones as in previous analogous comparisons (although previous attempts were restricted to neutron star models with either high or low rotation rates). We believe that this particular analytic solution could be considered as an analytic faithful representation of the gravitation field of any rotating neutron star with such accuracy, that one could explore the interior structure of a neutron star by using this space–time to interpret observations of astrophysical processes that take place around it.
旋转中子星外部引力场的解析近似
影响因子：
3.5
作者：
C. Teichmüller;M.B. Fröb;F. Maucher
通讯作者：
F. Maucher