Abstract
We consider the quasiblack hole limit of a stationary body when its boundary approaches its own gravitational radius, i.e., its quasihorizon. It is shown that there exists a perfect correspondence between the different mass contributions and the mass formula for quasiblack and black holes in spite of the difference in derivation and meaning of the formulas in both cases. For extremal quasiblack holes the finite surface stresses give zero contribution to the total mass. Analogous properties are derived for the angular momentum.
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