Fine structure of Choptuik's mass scaling relation
Fine structure of Choptuik's mass scaling relation
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Choptuik 质量标度关系的精细结构
DOI：
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发表时间：
1996
期刊：
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通讯作者：
T. Piran
中科院分区：
文献类型：
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作者：
S. Hod;T. Piran
我们推测（解析）和证明（数值）存在一个精细结构以上的幂律行为的黑洞的质量，形成在引力坍缩的球形无质量标量场。精细结构是临界间距$（p-p^*）$的周期函数。我们预测周期$\varpi$是{\it universal}，它依赖于之前的普适参数，临界指数$\beta$和回波周期$\Delta$为$\varpi = \Delta /\beta$。
We conjecture (analytically) and demonstrate (numerically) the existence of a fine-structure above the power-law behavior of the mass of black-holes that form in gravitational collapse of spherical massless scalar field. The fine-structure is a periodic function of the critical-separation $(p-p^*)$. We predict that the period $\varpi$ is {\it universal} and that it depends on the previous universal parameters, the critical exponent, $\beta$, and the echoing period $\Delta$ as $\varpi = \Delta /\beta$.