Proof of the (local) angular momemtum-mass inequality for axisymmetric black holes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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14 pages

Scientific paper

10.1088/0264-9381/23/23/015

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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