Black-hole threshold solutions in stiff fluid collapse
Black-hole threshold solutions in stiff fluid collapse
复制标题
刚性流体塌陷中的黑洞阈值解
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
David W. Neilsen
中科院分区：
文献类型：
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作者：
Patrick R. Brady;M. Choptuik;Carsten Gundlach;David W. Neilsen
对刚性（P = ρ）流体引力坍缩的数值研究发现了现在熟悉的临界现象，即黑洞质量的临界指数标度和黑洞形成阈值处的连续自相似性。利用无旋刚性流体与无质量标量场的等价性，通过自相似近似，将临界解构造为标量场解。我们发现，该解决方案有一个增长的扰动模式的证据，无论是模式和临界指数，γ <$0.94，从其特征值，同意在完美的流体崩溃模拟测量。我们解释了为什么这个解决方案被看作是一个临界解在刚性流体崩溃，而不是在标量场崩溃，相反，为什么标量场临界解是没有看到在刚性流体崩溃，即使这两个系统是局部等价的。
Numerical studies of the gravitational collapse of a stiff (P = ρ) fluid have found the now-familiar critical phenomena, namely scaling of the black-hole mass with a critical exponent and continuous self-similarity at the threshold of black-hole formation. Using the equivalence of an irrotational stiff fluid to a massless scalar field, we construct the critical solution as a scalar field solution by making a self-similarity ansatz. We find evidence that this solution has exactly one growing perturbation mode; both the mode and the critical exponent, γ ≃ 0.94, derived from its eigenvalue agree with those measured in perfect fluid collapse simulations. We explain why this solution is seen as a critical solution in stiff fluid collapse but not in scalar field collapse, and conversely why the scalar field critical solution is not seen in stiff fluid collapse, even though the two systems are locally equivalent.