Towards the final fate of an unstable black string

Towards the final fate of an unstable black string
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走向不稳定的黑弦的最终命运

DOI:
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发表时间:
2003
期刊:
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通讯作者:
Hugo Villegas
Hugo Villegas
中科院分区:
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文献类型:
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作者:
M. Choptuik;L. Lehner;L. Lehner;I. Olabarrieta;R. Petryk;F. Pretorius;F. Pretorius;Hugo Villegas

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黑弦是黑洞的一类高维类似物,1992年Gregory和Laflamme通过线性分析证明了它对长波扰动是不稳定的。我们重新审视的问题,通过数值解的完整的运动方程,并专注于试图确定一个扰动的,不稳定的黑弦的结束状态。我们的初步结果表明,这样一个时空趋向于一个类似于一系列由细黑弦连接的球形黑洞的解决方案,至少在中间时间。然而,我们的代码失败了,主要是由于在度量函数中发展的大梯度,因为我们使用的坐标系不能很好地适应展开解决方案的性质。因此,我们无法确定我们所看到的解与最终的终态有多接近,尽管我们确实观察到了系统在中间阶段的丰富的动力学行为。
Black strings, one class of higher dimensional analogues of black holes, were shown to be unstable to long wavelength perturbations by Gregory and Laflamme in 1992, via a linear analysis. We reexamine the problem through the numerical solution of the full equations of motion, and focus on trying to determine the end state of a perturbed, unstable black string. Our preliminary results show that such a spacetime tends towards a solution resembling a sequence of spherical black holes connected by thin black strings, at least at intermediate times. However, our code fails then, primarily due to large gradients that develop in metric functions, as the coordinate system we use is not well adapted to the nature of the unfolding solution. We are thus unable to determine how close the solution we see is to the final end state, though we do observe rich dynamical behavior of the system in the intermediate stages.