arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1702.02567astro-ph.HEastro-ph.SRgr-qc
收藏

中子星并合中瞬发坍缩临界质量的半解析推导

Semi-analytic derivation of the threshold mass for prompt collapse in binary neutron star mergers

Andreas Bauswein, Nikolaos Stergioulas

摘要:

在最大质量非旋转中子星模型中,经验发现双中子星合并的瞬时坍缩阈值质量依赖于恒星性质。在这里,我们提出了一个半解析推导这个经验关系,这表明它是相当不敏感的热效应,偏离轴对称和合并残余物的确切的旋转定律。我们利用轴对称,冷平衡模型与差分旋转和确定的阈值质量崩溃的经验关系,描述了在残余物中的角动量为一个给定的总二进制质量和序列的旋转平衡模型在阈值崩溃(后者假设是附近的转折点的固定角动量序列)之间的比较。尽管有各种简化假设,但快速崩溃的经验关系式仍能以很好的精度再现,这表明了它的鲁棒性。我们讨论了我们的方法和结果的影响,了解其他经验的中子星合并残留物,已被发现的数值模拟和发挥关键作用,通过引力波观测约束的高密度状态方程所满足的关系。

英文摘要:

The threshold mass for prompt collapse in binary neutron star mergers was empirically found to depend on the stellar properties of the maximum-mass non-rotating neutron star model. Here we present a semi-analytic derivation of this empirical relation which suggests that it is rather insensitive to thermal effects, to deviations from axisymmetry and to the exact rotation law in merger remnants. We utilize axisymmetric, cold equilibrium models with differential rotation and determine the threshold mass for collapse from the comparison between an empirical relation that describes the angular momentum in the remnant for a given total binary mass and the sequence of rotating equilibrium models at the threshold to collapse (the latter assumed to be near the turning point of fixed-angular-momentum sequences). In spite of the various simplifying assumptions, the empirical relation for prompt collapse is reproduced with good accuracy, which demonstrates its robustness. We discuss implications of our methodology and results for understanding other empirical relations satisfied by neutron-star merger remnants that have been discovered by numerical simulations and that play a key role in constraining the high-density equation of state through gravitational-wave observations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑