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Journal Article

Horizon area-angular momentum inequality for a class of axially symmetric black holes

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Acena,  Andres E.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Gabach Clement,  Maria E.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1012.2413.pdf
(Preprint), 585KB

CQG_28_10_105014.pdf
(Any fulltext), 517KB

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Citation

Acena, A. E., Dain, S., & Gabach Clement, M. E. (2011). Horizon area-angular momentum inequality for a class of axially symmetric black holes. Classical and quantum gravity, 28(10): 105014. doi:10.1088/0264-9381/28/10/105014.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-07F2-1
Abstract
We prove an inequality between horizon area and angular momentum for a class of axially symmetric black holes. This class includes initial conditions with an isometry which leaves fixed a two-surface. These initial conditions have been extensively used in the numerical evolution of rotating black holes. They can describe highly distorted black holes, not necessarily near equilibrium. We also prove the inequality on extreme throat initial data, extending previous results.