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Dynamics of localized Kaluza-Klein black holes in a collapsing universe

机译:坍缩宇宙中局部Kaluza-Klein黑洞的动力学

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摘要

The Clayton Antitrust Act of 1914 prohibits corporate mergers that would result in certain highly undesired end states. We study an exact solution of the Einstein equations describing localized, charged Kaluza-Klein black holes in a collapsing de Sitter universe and seek to demonstrate that a similar effect holds, preventing a potentially catastrophic black hole merger. As the collapse proceeds, it is natural to expect that the black hole undergoes a topological transition, wrapping around the shrinking compact dimension to merge with itself and form a black string. However, the putative uniform charged black string end state is singular and such a transition would violate (a reasonable notion of) cosmic censorship. We present analytic and numerical evidence that strongly suggests the absence of such a transition. Based on this evidence, we expect that the Kaluza-Klein black hole horizon stays localized, despite the increasingly constraining size of the compact dimension. On the other hand, the de Sitter horizon does change between spherical and cylindrical topologies in a simple way.
机译:1914年的《克莱顿反托拉斯法》(Clayton Antitrust Act)禁止公司合并,否则将导致某些非常不希望的最终州。我们研究了爱因斯坦方程的精确解,该方程描述了坍塌的de Sitter宇宙中的局部带电Kaluza-Klein黑洞,并试图证明类似的效果成立,从而防止了潜在的灾难性黑洞合并。随着崩溃的进行,自然可以预期黑洞会经历拓扑转换,围绕收缩的紧凑尺寸进行包裹以与其​​自身合并并形成黑线。但是,假定的均匀带电黑线末端状态是奇异的,并且这种过渡将违反宇宙检查的(合理的概念)。我们提供的分析和数值证据强烈表明没有这种过渡。基于此证据,尽管紧凑尺寸的尺寸越来越受限制,但我们仍希望Kaluza-Klein黑洞层位保持局部化。另一方面,de Sitter层级确实以一种简单的方式在球形和圆柱形拓扑之间变化。

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