Harmonic superpositions of non-extremal p-branes

TL;DR

This paper explores the construction and properties of multi-scalar and dyonic black hole solutions in supergravity, extending known methods for extremal p-branes to non-extremal cases and higher dimensions.

Contribution

It introduces new methods for constructing multi-scalar and dyonic black hole solutions in non-extremal supergravity, including their oxidation and symmetry analysis.

Findings

Extended solution construction to include multi-scalar black holes

Analyzed oxidation of solutions to higher dimensions

Discussed symmetries and solution procedures

Abstract

The plot of allowed p and D values for p-brane solitons in D-dimensional supergravity is the same whether the solitons are extremal or non-extremal. One of the useful tools for relating different points on the plot is vertical dimensional reduction, which is possible if periodic arrays of p-brane solitons can be constructed. This is straightforward for extremal p-branes, since the no-force condition allows arbitrary multi-centre solutions to be constructed in terms of a general harmonic function on the transverse space. This has also been shown to be possible in the special case of non-extremal black holes in D=4 arrayed along an axis. In this paper, we extend previous results to include multi-scalar black holes, and dyonic black holes. We also consider their oxidation to higher dimensions, and we discuss general procedures for constructing the solutions, and studying their symmetries.