A universal inequality for axisymmetric and stationary black holes with surrounding matter in the Einstein-Maxwell theory
arXiv:0812.2811 · doi:10.1007/s00220-009-0889-y
Abstract
We prove that in Einstein-Maxwell theory the inequality $(8ÏJ)^2+(4ÏQ^2)^2 < A^2$ 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.
20 pages