arXiv:gr-qc/0511087·gr-qc·November 11, 2009
Proof of the (local) angular momemtum-mass inequality for axisymmetric black holes
Sergio Dain
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Abstract
We prove that for any vacuum, maximal, asymptotically flat, axisymmetric initial data for Einstein equations close to extreme Kerr data, the inequality is satisfied, where and 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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