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

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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 Q^{2})^{2}< A^{2}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.