  We establish inequalities relating the size of a material body to its mass,
angular momentum, and charge, within the context of axisymmetric initial data
sets for the Einstein equations. These inequalities hold in general without the
assumption of the maximal condition, and use a notion of size which is easily
computable. Moreover, these results give rise to black hole existence criteria
which are meaningful even in the time-symmetric case, and also include certain
boundary effects.
