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Journal Article

A universal inequality between angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter

MPS-Authors

Hennig,  Jörg
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Ansorg,  Marcus
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Cederbaum,  Carla
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0805.4320.pdf
(Preprint), 153KB

cqg8_16_162002.pdf
(Publisher version), 213KB

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Citation

Hennig, J., Ansorg, M., & Cederbaum, C. (2008). A universal inequality between angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter. Classical and quantum gravity, 16(25): 162002. doi:10.1088/0264-9381/25/16/162002.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-6AFF-1
Abstract
We prove that for sub-extremal axisymmetric and stationary black holes with arbitrary surrounding matter the inequality $8\pi|J|<A$ holds, where $J$ is the angular momentum and $A$ the horizon area of the black hole.