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arXiv 0709.3527gr-qcastro-ph
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中子星坍缩的II型临界现象

Type II critical phenomena of neutron star collapse

Scott C. Noble, Matthew W. Choptuik

摘要:

我们调查球对称,广义相对论系统的崩溃完美流体分布。我们考虑中子星模型,驱动崩溃的除了最初的“进入”的速度分布的名义上静态的恒星解决方案。我们所用的中子星模型是Tolman-Oppenheimer-Schmidoff解,其初始状态方程是等熵的,符合伽马定律。1)速度剖面的振幅和2)恒星中心密度的初始值跨越一个参数空间,我们只关注引起II型临界行为的区域,在这个区域中可以形成任意小质量的黑洞。与以前发表的工作相比,我们发现-对于特定值的绝热指数(伽马= 2)-所观察到的II型临界解具有近似相同的标度指数计算为相同的指数的超相对论流体。此外,我们发现,使用理想气体状态方程计算的临界解渐近线的超相对论临界解。

英文摘要:

We investigate spherically-symmetric, general relativistic systems of collapsing perfect fluid distributions. We consider neutron star models that are driven to collapse by the addition of an initially "in-going" velocity profile to the nominally static star solution. The neutron star models we use are Tolman-Oppenheimer-Volkoff solutions with an initially isentropic, gamma-law equation of state. The initial values of 1) the amplitude of the velocity profile, and 2) the central density of the star, span a parameter space, and we focus only on that region that gives rise to Type II critical behavior, wherein black holes of arbitrarily small mass can be formed. In contrast to previously published work, we find that--for a specific value of the adiabatic index (Gamma = 2)--the observed Type II critical solution has approximately the same scaling exponent as that calculated for an ultrarelativistic fluid of the same index. Further, we find that the critical solution computed using the ideal-gas equations of state asymptotes to the ultrarelativistic critical solution.

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