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The inequality between area and charge $A\geq 4\pi Q^2$ for dynamical black holes is proved.
Interaction energy in geometrostatics
D. R. Brill and R. W. Lindquist · 1963
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Differential topology
V. Guillemin and A. Pollack · 1974
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Note on cosmic censorship
P. S. Jang · 1979
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A Bogomolny bound for general relativity and solitons in N = 2 N=2 supergravity
G. W. Gibbons and C. M. Hull · 1982
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Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
W. Meeks, III, L. Simon, and S. T. Yau · 1982
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The positive energy theorem and its extensions
G. T. Horowitz · 1984
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Some remarks on the quasi-local mass
D. Christodoulou and S.-T. Yau · 1988
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General laws of black-hole dynamics
S. A. Hayward · 1994
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A model of a spheroidal body
W. B. Bonnor · 1998
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Some comments on gravitational entropy and the inverse mean curvature flow
G. Gibbons · 1999
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Proof of the riemannian penrose conjecture using the positive mass theorem
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A. Hatcher · 2002
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Local existence of dynamical and trapping horizons
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A universal inequality between the angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter
J. Hennig, M. Ansorg, and C. Cederbaum · 2008
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A Simple proof of the recent generalisations of Hawking’s black hole topology theorem
I. Racz · 2008
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Extreme throat initial data set and horizon area-angular momentum inequality for axisymmetric black holes
S. Dain · 2010
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A universal inequality for axisymmetric and stationary black holes with surrounding matter in the Einstein-Maxwell theory
J. Hennig, C. Cederbaum, and M. Ansorg · 2010
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Horizon area–angular momentum inequality for a class of axially symmetric black holes
A. Aceña, S. Dain, and M. E. G. Clément · 2011
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A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter
M. Ansorg and H. Pfister · 2008
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Extremality conditions for isolated and dynamical horizons
I. Booth and S. Fairhurst · 2008
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Universal properties of distorted Kerr-Newman black holes
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Counterexample to a Penrose inequality conjectured by Gibbons
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