Two-dimensional reduced theory and general static solution for uncharged black p-branes

We derive a two-dimensional effective dilaton-gravity-matter action that describes the dynamics of an uncharged black p-brane in N dimensions. We show that this effective theory is completely integrable in the static sector and establish its general static solution. The solution includes, as a particular case, the boost symmetric p-brane solution investigated by R. Gregory [Nucl. Phys. B 467 (1996) 159].