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arXiv math-ph/0509067math-phgr-qcmath.DGmath.MP
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Kerr-Newman事件视界的内禀谱几何

Intrinsic Spectral Geometry of the Kerr-Newman Event Horizon

Martin Engman, Ricardo Cordero Soto

备注：
Final version with improved abstract, updated references, corrected typos, and additional discussion
发表信息：
J.Math.Phys. 47 (2006) 033503
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摘要：

我们从Kerr-Newman事件视界的Laplacian谱中唯一地、明确地重建了它的瞬时内禀度规。在这个过程中，我们发现角动量参数，半径，面积，以及在不带电的情况下，质量，可以用这些本征值来写。在不带电的情况下，这立即导致克尔度规的唯一和明确的确定方面的频谱的事件视界。罗宾逊的"无毛”定理现在产生了一个推论：人们可以通过只听其事件视界的振动频率来“听到”不带电的静止轴对称黑洞时空的“形状”。

英文摘要：

We uniquely and explicitly reconstruct the instantaneous intrinsic metric of the Kerr-Newman Event Horizon from the spectrum of its Laplacian. In the process we find that the angular momentum parameter, radius, area; and in the uncharged case, mass, can be written in terms of these eigenvalues. In the uncharged case this immediately leads to the unique and explicit determination of the Kerr metric in terms of the spectrum of the event horizon. Robinson's ``no hair" theorem now yields the corollary: One can ``hear the shape" of noncharged stationary axially symmetric black hole space-times by listening to the vibrational frequencies of its event horizon only.

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