ADM masses for black strings and p-branes

Abstract

An ADM mass formula is derived for a wide class of black solutions with certain spherical symmetry. By applying this formula, we calculate the ADM masses for recently discovered black strings and p-branes in diverse dimensions. By this, the Bogolmol'nyi equation can be shown to hold explicitly. A useful observation is made for non-extremal black p-branes that only for p = 0, i.e. for a black hole, can its ADM mass be read directly from the asymptotic behaviour of the metric component g00.