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arXiv 1201.2340gr-qchep-thmath-phmath.MP
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黑洞的形状是什么?

What is the Shape of a Black Hole?

G. W. Gibbons

摘要:

简要地但肯定不是详尽地综述了四维和更高维时空中的一些最新结果和理论,如事件视界几何与动力学量(如包含黑洞的时空的总能量或质量)联系起来的箍猜想。作为一种措施的大小箍一个可以采取伯克霍夫的不变量的基础上sweepouts由圆或高维类似物或一个可以采取的长度最短的非平凡封闭测地线。还讨论了人们是否可以听到黑洞的形状,以及在多大程度上人们可以将其与体积联系起来。

英文摘要:

A brief, and certainly not exhaustive, survey is provided of some recent results and conjectures in four and higher spacetime dimensions, such as the Hoop Conjecture, relating the geometry of event horizons to dynamical quantities such as the total energy or mass of the spacetime containng the black hole. As a measure of the size of a hoop one may take Birkhoff's invariant based on sweepouts by circles or higher dimensional analogues or one may take the length of the shortest non-trivial closed geodesic. Also discussed are whether one can hear the shape of a black hole and to what extent one may associate with it a volume.

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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