Proof of the angular momentum-mass inequality for axisymmetric black holes
نویسنده
چکیده
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 m and J are the total mass and angular momentum of the spacetime.
منابع مشابه
Proof of the (local) angular momemtum-mass inequality for axisymmetric black holes
We prove that for any vacuum, maximal, asymptotically flat, axisymmetric initial data for Einstein equations close to extreme Kerr data, the inequality √ J ≤ m is satisfied, where m and J are the total mass and angular momentum of the data. The proof consists in showing that extreme Kerr is a local minimum of the mass.
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