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A universal inequality that bounds the charge of a body by its size ispresented, and is proven as a consequence of the Einstein equations in thecontext of initial data sets which satisfy an appropriate energy condition. Wealso present a general sufficient condition for the formation of black holesdue to concentration of charge, and discuss the physical relevance of theseresults.

Inequalities Between Size and Charge for Bodies and the Existence of Black Holes Due to Concentration of Charge