Topology change in general relativity, and the black-hole black-string transition
Topology change in general relativity, and the black-hole black-string transition
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广义相对论的拓扑变化和黑洞黑弦转变
DOI：
10.1088/1126-6708/2005/10/049
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发表时间：
2002
影响因子：
5.4
通讯作者：
B. Kol
中科院分区：
文献类型：
--
作者：
B. Kol
在紧致维度存在的情况下，广义相对论的大质量解可以采取包括黑洞和黑弦在内的几种形式之一，最简单的相关背景是3+1×S1。文中给出了Morse理论对相图的定性特征的约束，并提出了一个描述一阶相变的极小化图，该相变的唯一稳定相是均匀弦和黑洞。这张图需要一个拓扑变化的“合并”转变，在这个转变中，黑洞不断演化成一个不稳定的黑弦阶段。作为证据，提出了S_2×S_2上的锥体起中心作用的转变局域模型。地平线尖点并不是黑洞合并的前兆。推广到更高的维度发现，尽管锥体在d=5时有一个速子函数，但有趣的是，它的稳定性取决于维度--对于d10它是不稳定的。
In the presence of compact dimensions massive solutions of General Relativity may take one of several forms including the black-hole and the black-string, the simplest relevant background being 3+1 × S1. It is shown how Morse theory places constraints on the qualitative features of the phase diagram, and a minimalistic diagram is suggested which describes a first order transition whose only stable phases are the uniform string and the black-hole. The diagram calls for a topology changing ``merger'' transition in which the black-hole evolves continuously into an unstable black-string phase. As evidence a local model for the transition is presented in which the cone over S2 × S2 plays a central role. Horizon cusps do not appear as precursors to black hole merger. A generalization to higher dimensions finds that whereas the cone has a tachyon function for d = 5, its stability depends interestingly on the dimension — it is unstable for d 10.