4.6 Article

A Universal Inequality for Axisymmetric and Stationary Black Holes with Surrounding Matter in the Einstein-Maxwell Theory

Journal

COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 293, Issue 2, Pages 449-467

Publisher

SPRINGER
DOI: 10.1007/s00220-009-0889-y

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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.

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