Proof of the angular momentum-mass inequality for axisymmetric black holes

Sergio Dain

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arXiv · gr-qc/0606105

Proof of the angular momentum-mass inequality for axisymmetric black holes

Sergio Dain

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Abstract

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 non-stationary, axially symmetric, black holes. As a consequence, we obtain that any data in this class satisfy the inequality $\sqrt{J} \leq m$, where $m$ and $J$ are the total mass and angular momentum of the spacetime.

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BibTeX RIS

Sergio Dain. 2007-05-08. Proof of the angular momentum-mass inequality for axisymmetric black holes. https://arxiv.org/abs/gr-qc/0606105

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