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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 $\sqrt{J} \leq m$ 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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Sergio Dain. 2005-11-16. Proof of the (local) angular momemtum-mass inequality for axisymmetric black holes. https://doi.org/10.1088/0264-9381%2F23%2F23%2F015

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