Intrinsic Spectral Geometry of the Kerr-Newman Event Horizon

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dc.creatorEngman, Martin
dc.creatorSoto, Ricardo Cordero
dc.date2005-09-28
dc.date2006-03-16
dc.date.accessioned2026-07-07T06:42:21Z
dc.date.available2026-07-07T06:42:21Z
dc.descriptionWe 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.
dc.descriptionFinal version with improved abstract, updated references, corrected typos, and additional discussion
dc.identifierhttps://arxiv.org/abs/math-ph/0509067
dc.identifierhttp://arxiv.org/abs/math-ph/0509067
dc.identifierJ.Math.Phys. 47 (2006) 033503
dc.identifierdoi:10.1063/1.2174290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102008
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectDifferential Geometry
dc.subject58J50 (Primary); 83C15; 83C57 (Secondary)
dc.titleIntrinsic Spectral Geometry of the Kerr-Newman Event Horizon
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