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Area - Angular-Momentum inequality for axisymmetric black holes

MPG-Autoren

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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Volltexte (frei zugänglich)

1102.5215
(Preprint), 129KB

PRL107_051101.pdf
(beliebiger Volltext), 104KB

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Zitation

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.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-0529-C
Zusammenfassung
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.