IFEG   20353
INSTITUTO DE FISICA ENRIQUE GAVIOLA
Unidad Ejecutora - UE
artículos
Título:
Proof of the angular momentum-mass inequality for axisymmetric black holes
Autor/es:
SERGIO DAIN
Revista:
JOURNAL OF DIFFERENTIAL GEOMETRY
Editorial:
International Press
Referencias:
Año: 2008 vol. 79 p. 33 - 67
ISSN:
0022-040X
Resumen:
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.