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

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

2008-12-15

arxiv.org/abs/0812.2811v1

Commun.Math.Phys.293:449-467,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages

Scientific paper

10.1007/s00220-009-0889-y

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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