Extreme throat initial data set and horizon area-angular momentum inequality for axisymmetric black holes
نویسندگان
چکیده
منابع مشابه
Area-angular-momentum inequality for axisymmetric black holes.
We prove the local inequality A≥8π|J|, where A and J are the area and angular momentum of any axially symmetric closed stable minimal surface in an axially symmetric maximal initial data. From this theorem it is proved that the inequality is satisfied for any surface on complete asymptotically flat maximal axisymmetric data. In particular it holds for marginal or event horizons of black holes. ...
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The inequality square root J <or=m is proved for vacuum, asymptotically flat, maximal, and axisymmetric data close to extreme Kerr data. The physical significance of this inequality and its relation to the standard picture of the gravitational collapse are discussed.
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We prove that for sub-extremal axisymmetric and stationary black holes with arbitrary surrounding matter the inequality 8π|J | < A holds, where J is the angular momentum and A the horizon area of the black hole. PACS numbers: 04.70.Bw, 04.40.-b, 04.20.Cv preprint number: AEI-2008-034
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We show that extreme Myers-Perry initial data realize the unique absolute minimum of the total mass in a physically relevant (Brill) class of maximal, asymptotically flat, bi-axisymmetric initial data for the Einstein equations with fixed angular momenta. As a consequence, we prove the mass-angular momentum inequality in this setting for 5-dimensional spacetimes. That is, all data in this class...
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We prove that extreme Kerr initial data set is a unique absolute minimum of the total mass in a (physically relevant) class of vacuum, maximal, asymptotically flat, axisymmetric data for Einstein equations with fixed angular momentum. These data represent nonstationary, axially symmetric, black holes. As a consequence, we obtain that any data in this class satisfy the inequality √ J ≤ m, where ...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2010
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.82.104010