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 $g_{00}$.

9 pages, harvmac, CERN-TH.6877/93.(a typing error in eq. (3.2) corrected)

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