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  On extreme Kerr-throats and zero temperature black-holes

Reiris, M. (2014). On extreme Kerr-throats and zero temperature black-holes. Classical and Quantum Gravity, 31(2): 025001. doi:10.1088/0264-9381/31/2/025001.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-FE6C-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-FE6D-5
Genre: Journal Article

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 Creators:
Reiris, Martin1, Author              
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematics, Differential Geometry, math.DG
 Abstract: Recently it was shown that the area A and the angular momentum J of any apparent horizon on a maximal, axisymmetric and asymptotically flat Cauchy hyper-surface of a vacuum space-time satisfy necessarily the universal inequality A >= 8 pi |J|. We show here that the equality A=8 pi |J| is never attained. As equality is reached (on globally different data sets) when and only when the surface is an extreme Kerr-throat sphere which has zero "temperature", then our statement could be rephrased following this thermodynamic heuristic as the non-existence of apparent horizons of zero temperature. We study too the global structure of data sets having surfaces with A=8 pi |J|. This lead us to prove the rigidity of the extreme Kerr-throats and to investigate the important phenomenon of formation of extreme Kerr-throats along sequences of data sets.

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 Dates: 2012-09-202013-10-162014
 Publication Status: Published in print
 Pages: Changes made to match published version in CQG
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 Identifiers: arXiv: 1209.4530
DOI: 10.1088/0264-9381/31/2/025001
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 31 (2) Sequence Number: 025001 Start / End Page: - Identifier: -