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arXiv 1105.5898math.APgr-qc
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物质场凝聚导致黑洞的动力学形成

Dynamical formation of black holes due to the condensation of matter field

Pin Yu

摘要:

本文的目的是了解一种机制的演化形成的陷获表面时,有一个电磁场耦合到背景时空。基于短脉冲近似,在给定的有限输出零超曲面上,我们给出了耦合到Maxwell场的Einstein-Maxwell方程的初始数据的开集,从而沿Einstein-Maxwell流形成了一个俘获面.一方面,这推广了Christodoulou和Klainerman-Rodnianski的黑洞形成结果。事实上,通过关闭我们的主要定理中的电磁场,我们可以在真空中恢复他们的结果。另一方面,这表明黑洞的形成可能纯粹是由于麦克斯韦场在初始零超曲面上的凝聚,在那里没有传入的引力能。

英文摘要:

The purpose of the paper is to understand a mechanism of evolutionary formation of trapped surfaces when there is an electromagnetic field coupled to the background space-time. Based on the short pulse ansatz, on a given finite outgoing null hypersurface which is free of trapped surfaces, we exhibit an open set of initial data for Einstein equations coupled with a Maxwell field, so that a trapped surface forms along the Einstein-Maxwell flow. On one hand, this generalizes the black-hole-formation results of Christodoulou and Klainerman-Rodnianski. In fact, by switching off the electromagnetic field in our main theorem, we can retrieve their results in vacuum. On the other hand, this shows that the formation of black hole can be purely due to the condensation of Maxwell field on the initial null hypersurface where there is no incoming gravitational energy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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