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

Sergio Dain Universidad Nacional de C´ordoba

Differential Geometry mathscidoc:1609.10063

Journal of Differential Geometry, 79, (1), 33-67, 2008
We prove that an 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 √J ≤ m, where m and J are the total mass and angular momentum of spacetime.
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@inproceedings{sergio2008proof,
  title={PROOF OF THE ANGULAR MOMENTUM-MASS INEQUALITY FOR AXISYMMETRIC BLACK HOLES},
  author={Sergio Dain},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160909110429268882720},
  booktitle={Journal of Differential Geometry},
  volume={79},
  number={1},
  pages={33-67},
  year={2008},
}
Sergio Dain. PROOF OF THE ANGULAR MOMENTUM-MASS INEQUALITY FOR AXISYMMETRIC BLACK HOLES. 2008. Vol. 79. In Journal of Differential Geometry. pp.33-67. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160909110429268882720.
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