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Journal Article

Area - Angular-Momentum inequality for axisymmetric black holes

MPS-Authors

Dain,  Sergio
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons26309

Reiris,  Martin
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1102.5215
(Preprint), 129KB

PRL107_051101.pdf
(Any fulltext), 104KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Dain, S., & Reiris, M. (2011). Area - Angular-Momentum inequality for axisymmetric black holes. Physical Review Letters, 107(5): 051101. doi:10.1103/PhysRevLett.107.051101.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-0529-C
Abstract
We prove the local inequality $A \geq 8\pi|J|$, where $A$ and $J$ are the area and angular momentum of any axially symmetric closed stable minimal surface in an axially symmetric maximal initial data. From this theorem it is proved that the inequality is satisfied for any surface on complete asymptotically flat maximal axisymmetric data. In particular it holds for marginal or event horizons of black holes.