New conformally flat initial data for spinning black holes
New conformally flat initial data for spinning black holes
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旋转黑洞的新共形平坦初始数据
DOI：
10.1103/physrevd.65.104038
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发表时间：
2002
影响因子：
5
通讯作者：
Ryoji Takahashi
中科院分区：
文献类型：
--
作者：
S. Dain;C. Lousto;Ryoji Takahashi
我们得到一个明确的解决方案的动量约束共形平坦，最大切片，初始数据，这给了一个替代的纯纵向的外在曲率的Bowen和约克。新的解决方案是相关的，在一个精确的形式，与外部曲率的克尔切片。我们研究这些新的初始数据表示旋转黑洞的数值求解哈密顿约束。它们具有以下特征：i）对于所有允许的旋转参数值，它们比相应的单个旋转Bowen-York黑洞包含更少的辐射。ii）该解所达到的最大旋转参数J/m 2高于纯纵向解，从而可以描述更接近于最大旋转Kerr的空穴。我们讨论了这些性质的物理解释及其与弱宇宙监督猜想的关系。最后，我们推广的数据，多个黑洞使用的“穿刺”和等距配方。
We obtain an explicit solution of the momentum constraint for conformally flat, maximal slicing, initial data which gives an alternative to the purely longitudinal extrinsic curvature of Bowen and York. The new solution is related, in a precise form, with the extrinsic curvature of a Kerr slice. We study these new initial data representing spinning black holes by numerically solving the Hamiltonian constraint. They have the following features: i) Contain less radiation, for all allowed values of the rotation parameter, than the corresponding single spinning Bowen-York black hole. ii) The maximum rotation parameter J/m 2 reached by this solution is higher than that of the purely longitudinal solution allowing thus to describe holes closer to a maximally rotating Kerr one. We discuss the physical interpretation of these properties and their relation with the weak cosmic censorship conjecture. Finally, we generalize the data for multiple black holes using the “puncture” and isometric formulations.