HARMONIC SUPERPOSITIONS OF NONEXTREMAL P-BRANES

The plot of allowed p and D values for p-brane solitons in D-dimension al supergravity is the same whether the solitons are extremal or nonex tremal. One of the useful tools for relating different points on the p lot is vertical dimensional reduction, which is possible if periodic a rrays of p-brane solitons can be constructed. This is straightforward for extremal p-branes, since the no-force condition allows arbitrary m ulticenter solutions to be constructed in terms of a general harmonic function on the transverse space. This has also been shown to be possi ble in the special case of nonextremal black holes in D = 4 arrayed al ong an axis. In this paper, we extend previous results to include mult iscalar black holes, and dyonic black holes. We also consider their ox idation to higher dimensions, discuss general procedures for construct ing the solutions and study their symmetries.