Black p-branes and their Vertical Dimensional Reduction

TL;DR

This paper extends the vertical dimensional reduction technique to include non-extremal black holes and branes, constructing multi-center solutions and analyzing their properties in various dimensions.

Contribution

It introduces a method to perform vertical dimensional reduction on non-extremal black holes and branes, broadening the scope of previous extremal-only approaches.

Findings

Constructed multi-center solutions for non-extremal black holes.

Demonstrated periodic array configurations are independent of the compactified coordinate.

Extended the reduction procedure to higher-dimensional non-extremal branes.

Abstract

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 {\it 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.