Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-11-16
Class.Quant.Grav. 23 (2006) 6845-6856
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
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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