Black p-branes and their vertical dimensional reduction

We construct multi-center solutions for charged, dilatonic, non-extremal black holes in D = 4. When an infinite array of such non-extremal black holes are aligned periodically along an axis, the configuration becomes independent of this coordinate, which can therefore be used for Kaluza-Klein compactification. This generalises the vertical dimensional reduction procedure to include non-extremal black holes. We then extend the construction to multi-center non-extremal (D - 4)-branes in D dimensions, and discuss their vertical dimensional reduction. (C) 1997 Elsevier Science B.V.