标题： 超大质量$M \sim 5 \times 10^4 \; M_\odot$第三族恒星的最终命运：爆炸还是坍缩？ 显示英文标题

标题： The Final Fate of Supermassive $M \sim 5 \times 10^4 \; M_\odot$ Pop III Stars: Explosion or Collapse?

摘要： 我们研究了超大质量（$5 \times 10^4 \;M_\odot$）第三族恒星因氦燃烧阶段出现的广义相对论不稳定性而引发超新星的可能性。 这种爆炸可能通过早期等熵核心收缩期间的快速氦燃烧发生。 这样的爆炸将会被未来的望远镜观测到，并可能破坏早期宇宙超大质量黑洞直接坍缩形成通道的提议。 我们首先使用一维恒星演化代码模拟从氢燃烧开始的恒星演化，其中包含后牛顿近似；在动力学坍缩点，我们切换到带有Misner-Sharpe度规的一维（广义相对论）流体力学代码。 与之前的研究相反，我们在非旋转情况下没有发现爆炸，尽管我们的模型接近于之前研究中的爆炸质量。 当我们加入缓慢自转时，我们发现一个爆炸模型，并得出结论，可能存在额外的爆炸模型，尽管它们可能是稀少的。 显示英文摘要

摘要： We investigate the possibility of a supernova in supermassive ($5 \times 10^4 \;M_\odot$) population III stars induced by a general relativistic instability occurring in the helium burning phase. This explosion could occur via rapid helium burning during an early contraction of the isentropic core. Such an explosion would be visible to future telescopes and could disrupt the proposed direct collapse formation channel for early universe supermassive black holes. We simulate first the stellar evolution from hydrogen burning using a 1D stellar evolution code with a post Newtonian approximation; at the point of dynamical collapse, we switch to a 1D (general relativistic) hydrodynamics code with the Misner-Sharpe metric. In opposition to a previous study, we do not find an explosion in the non rotating case, although our model is close to exploding for a similar mass to the explosion in the previous study. When we include slow rotation, we find one exploding model, and we conclude that there likely exist additional exploding models, though they may be rare.