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A universal inequality for axisymmetric and stationary black holes with surrounding matter in the Einstein-Maxwell theory

MPS-Authors

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

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

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

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CMP09_0889.pdf
(Publisher version), 304KB

0812.2811v1.pdf
(Preprint), 243KB

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Citation

Ansorg, M., Hennig, J., & Cederbaum, C. (2009). A universal inequality for axisymmetric and stationary black holes with surrounding matter in the Einstein-Maxwell theory. Communications in Mathematical Physics, Online First. doi:10.1007/s00220-009-0889-y.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4608-F
Abstract
We prove that in Einstein-Maxwell theory the inequality 8\pi J)2+(4\pi Q2)2< A2 holds for any sub-extremal axisymmetric and stationary black hole with arbitrary surrounding matter. Here J, Q, and A are angular momentum, electric charge, and horizon area of the black hole, respectively.